Question
If AB=AC and
then ![stack B with _ below A C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
- 60°
- 50°
- 65°
- 115°
Hint:
The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. Here we have given AB=AC and
, we have to find angle ACD.
The correct answer is: 50°
A line is a simple, one-dimensional shape that can go on forever in opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is a geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠".
If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.
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)
Here we have given the angles AB=AC and
.
![N o w space w e space h a v e colon space
angle A C D plus angle A C B equals 180 degree space left parenthesis l i n e a r space p a i r right parenthesis
115 degree plus angle A C B equals 180 degree
angle A C B equals 180 degree minus 115 degree
angle A C B equals 65 degree
N o w space w e space h a v e space A B equals A C comma space s o colon
angle A C B equals angle A B C equals 65 degree space left parenthesis i s o s c e l e s space t r i a n g l e space p r o p e r t y right parenthesis
N o w space w e space k n o w space t h e space a n g l e space s u m space p r o p e r t y space o f space a space t r i a n g l e i s space 180 degree comma space s o colon
angle A plus angle B plus angle C equals 180 degree
angle A equals 180 degree minus 65 degree minus 65 degree
angle A equals 50 degree](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle A is 50 degree.
Related Questions to study
In the figure
then ACD=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPQAAAC2CAYAAADuv6CZAAAgAElEQVR4nO3daVMbWb7n8W+mUhLaJSSB2HeDF8C4bLCNt7Kr7CqX3V3R3dH33gfzEuY91BuYiZiIeTARExNxYzq6qud2x61uV5fLGK+ADcZ4YTE2YBaxi0UgFgltmfOg2rRr824D8vlEOMJhROpvST+dkydPniNpmqYhCEJKkDe6AEEQ3hwRaEFIISLQgpBCRKAFIYWIQAtCChGBFoQUIgItCClEBFoQUogItCCkEBFoQUghItCCkEJEoAUhhYhAC0IKEYEWhBQiAi0IKUQEWhBSiAi0IKQQEWhBSCEi0IKQQkSgBSGFiEALQgpRNroA4RnUOKqqkZD0yLKEIm10QcJmJwK9Wa2FSQaGCMRkgs4iXA4T2QYQmRaeRQR6U4qwFujncVMb/bhR92ex3WEie6PLEjY9cQ696aigjjM90M7lxrs0351gIZlEp4jWWXg+EehNZ5lQYIS+nj56H88xs6QiKxJG8U4JL0B0uTcTLUoyMs1sYJbxUJK4wYbdbsOh12Hc6NqELUEEehOJBxdYmfETIUYyJwO9U8GimLDKkgi08EJEoDeFBMQXmfP3MzgwStgbQbUqxE1WNMmEWZJI2+gShS1BBHozSC7BXA9j40Pc9y9jWAyytLzCQsKBOc2CSdGJQAsvRAR6wyXR4kvMTK+woqXjLs7AIfWiXwqiGY1oFhtWRYduo8sUtgQR6A2joSXXSKxNMD02y8CcB11OHsfyJSzL89yeH0dRJGLoILnRtQpbhQj0RlGXWR3ro/92K92TErN5h9m9Mwdf+izS9AzzI4OMTyZZzVxkZiVOcWaaGBgTnktc3dwoWpz46iLB8UUWQkmMLgtWF8TXIqwu6Unq3eRlO8nJNKAB6kbXK2wJkqZp2kYX8V7S1oguzDIzOsNC0og+twBvho30xArJuVFGp4NMRCwYXFkU5Lrx2vSiOyU8lwi0IKQQ0eUWhBQiAi0IKUQEepPSNI1oNEo8Ht/oUoQtRIyzbEKqqjI1NcXQ0BA2m41du3ahKOKtEp5PfEo2ocHBQS5cuMDt27cpLS3FZrNRVFSELIsOlfBsItCbzOrqKs3Nzfzxj39kYGCAyspKioqKMJvNZGVlbXR5wiYnvvI3kdXVVbq7u7lx4wbBYJCKigr0ej3fffcd7e3tiCuMwvOIFnoT6evr48KFC8zMzHDy5EmOHTvGw4cPaWxsZGBgAEkSixAJzyYCvUksLy/T2trK1atXKSgo4Pe//z1VVVWYTCbGxsbwer0bXaKwBYhAbwLhcJibN2/S1tYGwP79+zlw4AB6vZ6Kigo0TcNutzM/P4/dbkev129wxcJmJc6hN4FHjx7xt7/9jUAgwLFjxzh48OB6aHNzc9m3bx/xeJy2tjampqY2uFphMxMt9AabmJigpaWFrq4uCgsLOX36NOXl5es/NxqNpKen8/DhQzo7O9Hr9eTn529gxcJmJlroDRQKhWhqaqK9vZ2MjAwOHz7M9u3bMZlMP3hcIpEgEAjQ09PD3bt3mZyc3KCKhc1OBHqDqKrK4OAgFy9exO/3s3//fk6cOIHdbv/JY2VZZtu2bWRmZnLr1i0aGhpYWlragKqFzU4EeoMMDQ1x5coV/H4/RUVFHD16lNLS0p99rMFg4NChQ3z88ceEQiEaGxvp6elhbW3tHVctbHYi0BsgGo1y7do1Ll26hNfr5ezZs1RUVPzi4yVJIjc3lwMHDlBWVsbMzAzXrl2jr6/vHVYtbAUi0O9YOBzm7t273Lhxg6WlJWprazl27BgOh+OZv6fX6ykrK+P06dNkZ2fT1NREU1OT6HoLPyAC/Y4NDg5y/vx5Zmdnqa2t5cCBAy88acRms3Hs2DHq6upYWVmhra2N+/fvEw6H33LVwlYhAv0OLSwscO/ePTo6OnC5XJw5c4YdO3a81DEcDgf19fXU1tYSCAT461//yqNHj95SxcJWIwL9jqyurtLa2kpjYyMLCwts376dQ4cO4XQ6X/pY27Zt4ze/+Q25ubm0t7fT0tJCKBQSN28IItDvytjYGOfOnePy5cvrg1xpaa+2wY3ZbGb37t3U1tZis9no6Ojg+vXr4nxaQPfFF198sdFFpLqpqSkuXbrE5cuXWVxcJCcnB6PRyNTUFDMzM6yurpJMJjEajeh0L7bpjcFgICsri2QySV9fH7OzsxQWFuL1esVCCO8xEei3LB6Pc+HCBS5evEhaWhpVVVU4HA76+/tpaWnh0aNHBINBVlZW0DQNvV6/Po9b07T1bvSTvz/5I0kSer2etbU17ty5w+DgIHa7nezs7FfqxgupQczlfoui0Sj9/f1cv34dv9/P6dOnOXz4MAsLCzx48ID+/n6i0Sh+v5+JiQmam5tRFAW9Xr9+77Msy8iyvN5ya5pGIpFA0zSMRiNzc3N0d3czOjqKJEl4vV58Ph9Go9g4530kAv0W+f3+9amdJSUl67dFqqrKkSNHmJ6eZmhoiL6+Ph4/fszAwACTk5NEIpH1YzwdaEmSUFV1PdCKoqz/cbvd+P1+WlpaqKioYOfOneI2y/eQCPRbEo/H6ejo4MKFC1itVs6cOUN1dTU6nQ6dTofD4cDhcODz+SgsLGT37t0EAgEWFxeJRqMAP+huq6q63tWWZRlJktDpdBgMBsxmMzMzM9y6dYuRkRG+/fZbFEVh165dG/kSCBtABPotiMVi3L17l5aWFlZXVzly5AjHjh0jPT39J499Euzt27c/97hPAv1zlpaWKC8v58svv+T69et4vV4KCgqw2Wyv/f8Rtg4xHPoWjI6Ocu7cOR4/fkxdXR3Hjh3D4/G89nGftaaY3W6nvr6e6upqotEoHR0d3L17l5WVldd+XmHrEIF+w2ZnZ2ltbeXWrVukpaVx6tQpqqur38lzO51Ojh8/Tl1dHcPDw/ztb39jZGTknTy3sDmILvcbFI1GaW9vp7m5mbS0NA4ePEh1dfXP3uOMlkRLxohGY0TjoEp6DEYDRqOC8lRDrKkJkvEEmk5BVhSed5W6urqa1dVVRkZGuHPnDjt37iQvL++5N38IqUFch36D/H4/f/rTn7h37x51dXX89re/paio6Oe7ytEZVkY6uNtymfMNrTTfGWMiokfvdmMzyXw/Pr3K0sRjBnv6GVlUCZvTMRtB/4zVfJ8MuC0uLjI6OkogEMBkMlFcXCy203kPiHf4DZmcnOTq1av09vaSkZHB0aNHqays/IVHJ4mtLLAwPcb05Bij/WNMBTsZCa2xbM9CqXGz3bCCutTDWP9j2vsgIGkUhNJQqjwUpac9s6W22+189NFHLC8v09DQQENDA2VlZZSXl4tLWSlOtNBvSGNjI3/5y1+QZZmzZ89y+PDhXxhhVkGLshhcIRRJw1qwg7IcE3nxAWZCcUb0Ffh8Xso0P6E733FveIkudjE6HCE5PoQ504Yz24UJ+KWGWpbl9W7+wMAAU1NTmEwmPB7Pz460C6lDDIq9plgsRm9vL83NzUxNTVFVVcXJkyfx+Xy/8BsSICGnubDmVlK+9wCHPjrOJ/uKqMw1Y06TQZdgdd7PwK2HDE3ESWRkY5FDRPvbeTwywWAY1p5zY5XRaGTXrl188sknWCwWGhoaaGtrIxaLvemXQNhERKBf0/j4OH//+98ZGhqisrKS+vp6cnNzn3GJSQLJiN2VTmamFbOmEpsNEVi2Y0wvpGKbi7yMMEuhaR4OxAgsmPG6Jcp9AewMMxlY4PE8hNXn1+bxeDh16hQ1NTVMT09z8+ZNent7SSQSb/Q1EDYPEejXEA6H6ezs5MqVKyQSCU6ePMmePXte4G4nGZ2iQ6+EiY61cPvyOf7U2EfrsIpOL+M0rLAWCTE1L7O8ZsZmhSz3MiYlyOJShLlFiCefX58kSfh8Po4cOUJVVRUDAwPiUlaKE4F+RfF4nHv37tHU1MTa2ho1NTXU19eTmZn5EgdZI7Y8TXDOz9jsJH2D4wz2+gkF59C0OElNh6rp0ekkFCUJJEnEVRJx0F6ghX6iqqqKzz//HJvNRlNTE62trWLCSYoSgX5FMzMznD9/nrt371JdXc2nn3768vs366yYsvZQeexjfvtZGdvsC4x19DDWP4WsUzAadegkFVWViMV1JFUFWSejKCC9xDvncrnYu3cvNTU1ALS2ttLe3v6Dm0CE1CAuW72Cubk5WlpauHPnDiaTiRMnTrB3796X3+5VNmFIL6WwzkVhUZKpSC/f3Z1hZToDY7YDj1MlYAyzGpFJLtiJRB3Y7Wm43WB4sXUQ1mVmZvLRRx+xsrJCR0cH58+fJzc3l23btr3cgYRNTQT6Fdy+fZuLFy+uL4BfWVn5kvcfa2iqhqYBOhkZCRyZuHKWyJ+04TBnYbbpKMjXE0issDi3RnTWhV4pICvTRYEXjK/Qt9q9ezehUIiHDx/S1dVFe3s7LpdLbFWbQkSgX0IymWR8fJzm5mZ6e3upr6/n9OnT5OTkvMRRVFAXmO7rxz8YYMlgR2eTsahzrEjp5NZsI70gH7Nbz7a9eUwORLjxqJ+poIWSov2UFOaxzQCvshqZyWRiz549nDhxgosXL3L+/HlsNhu/+tWvxGbyKUIE+iVMT0/T2NjIw4cPyc7Opr6+np07d75kGDTQwqwEhvH3PGLckIHe7cYtxdE78igp3oYn14EhTSW75gNKVT/DjxbRcnIo2FlEWa4PH788qeR5PB4Pn332GfPz81y8eJGrV6+yY8cOioqKxNTQFCBmir2EGzdu8OWXX7K2tsavf/1rTpw48Wr3G0syUlJFr0/D4MzAmZFHTm4BxSWFFOZ6cFvAIBuQLC4sJhfedAcV23Ko3JlHvtv40ufPP3hqScLpdBKNRhkdHWV6ehoAn8+Hy+V69QMLm4L4Sn4BqqrS29tLU1MTgUCAgwcP8vHHHz9jNtizyCDZSS+sxJ5ZTF5YI65YsDrMWH/wbiigy8RV4MaVGwFFD7yZediyLFNVVcWZM2f4y1/+QmNjIz6fD5/P95OtbIWtRVy2egGBQIC///3vdHZ2UllZyYkTJ8jOzn69gyomFJubdK8br+vHYX6KpIBi49XOmn+Zz+fj2LFjbN++nfn5edra2ujt7V1f/kjYmkQL/RyLi4vrm8slEgmOHz9ObW3tG7prSUKSpefe4/w26HQ6cnJy+Oijj5ifn6erqwu73Y7H46GgoGADKhLeBNFCP4OmaXR2dnL58mXi8Th79+5l3759KXWZp66ujtOnT6PX67lx4wYdHR1iwskWJgL9DLOzs1y/fp329nZKSko4e/Ys+fn5G13WG2WxWNizZw91dXVomkZjYyOtra0bXZbwikSgf0EwGOT69evcvXsXi8XCkSNHqK2txWAwbHRpb1xmZianT5+mpqaG3t5eGhoa8Pv9JJMvcAeIsKmIQP+Czs5Ozp07RzQa5eTJk+zdu/eF953aagwGAzt37uTAgQM4HA4ePXpES0sLgUBgo0sTXpII9I8kk0mGh4dpbm7m8ePHlJSUcPr06ZTrav+Y2Wxm7969nDx5kkQiwTfffMO9e/fEFrVbjAj0j8zOztLY2Eh3dzdFRUUcOnSI0tLS92ItrpycHE6fPk15eTlDQ0PcvHmToaEhEeotRAT6KfF4nEePHtHQ0EAwGOTDDz+kvr7+vQgzfD/hpKSkhKNHj1JSUsL9+/f55ptvRNd7CxGBfkpvby9Xr15lbm6O7du3c/ToUfLy8ja6rHeutraWM2fOoKoqV65coaOjg3A4vNFlCS9ABPofFhYWuHjxIi0tLZSWlnLmzJn3doJFZmYm+/fvZ8eOHSwvL9Pc3ExXV5cY9d4CxEwxIBQKcevWLdra2kgmkxw5coQDBw68t3ssy7JMfn4+n3zyCeFwmDt37mCz2SgoKHj5VVmEd0q00EBPTw/fffcda2trHDp0iA8++OC93zpGr9dTX1/P0aNHge8Xdbhz5w6hUGiDKxOe5b0OtKZpBAIBbt68SUdHB9nZ2Zw5c4bi4uKNLm1TMJvN1NbWcvjwYSKRCOfOnePevXsbXZbwDO91oIPBINeuXePOnTs4HA4OHjzInj17MJvNG13appGbm8vnn3/O9u3b6e7u5tq1a0xNTaGqL7HsqPDOvNeBHhgY4JtvvmFmZoYTJ05w5MiRlJza+ToMBgMVFRXU1dWRkZFBT08Ply5dYmZmZqNLE37Gexvo4eFhrl27xtDQEMXFxZw8eZKSkpKNLmtTMhqN1NXVcerUKcLhMN9++y3d3d3E4/GNLk34kfcy0KFQaH2vp6KiIk6cOEFRUdHbfVJNYyvPt8rPz+fDDz+koKCA8fFx2traGBoaEpeyNpn37rLV6uoqDx484Pr16wSDQU6ePMmhQ4ewWq0vfhA1gRpdJryWYC0poaGhoSArRiwmIybj0zdxLLE87md0IsySPhN3Xi7FXmXLvfB6vZ6ysjI+/vhjlpaWaG1txeFw4PF4cLvdG12e8A9b7XP12vr6+mhsbCQYDFJZWcmBAwdecjZYhKXxPvy9DxmeXWUuJqHJCnpnPp6CCnYUeSk0Aqgk1uZYHhtgYGCYwakYy7ppPEthohVFFLpN2LbYjFJFUTh69ChLS0v8+7//O9euXWPXrl3U19e/t9fsN5v3KtArKyvcuHGDq1evkpeXx69+9auX3DliDWL9DN06x7kvL9I6ssBkQgbFRnr1p+z9rBBXjkwhSWCS8fu3aW8eIGD24cjLIHtlkPkHfr6bPMjOygqO77Ji2mLLYbvdbmpra+ns7KS7u5uGhgasViu1tbUbXZrAexToSCRCa2srbW1tqKrKwYMHOXToEBaL5YWPoUWXSIw9ZGp6hknNAXYZt6aRlK047FbstjTSDDLE5lmbvEHnjTYa7ltwHzrM3t15FCzMcOdiB1fvRplfhry8PZQ5ZbbaOpsFBQWcPXuWSCRCe3s76enplJSUkJ6eLhbs32DvTaAfPXrEuXPnmJ+f5+jRoxw4cOClwgwQDUwxecfPolJM8X/5PR+69RQYQUOH3u7BkZFOhhXiwVHGmi/T/XCOcedvKC7Yzo4sCxZ3JVndfaRfbmXinpmb+7djslgo22Jdb4vFwr59+xgeHubx48d0dnZy69Yt9u/fT3p6+kaX915L+UAnk0kGBwe5dOkSvb29lJSU8Nlnn71kVzsJzDI33EHzxVvcSuRi/PQY24qqqSzQ8cOvhRUW5/t40NpN/6gb+cNysgpcOPSAvhxvto9C/UWGx+/T3jtLqc9MWebWa9VsNhuHDh1iYmKClpYWvv76a5xOJwcPHtzo0t5rKR/oxcVFGhoauHDhApqmUVNTQ2Vl5UvOBktAYpLQwhAP/X7uDQ/CUpKZ/npmD9Zy6INiyl3yP64BzrEcHKZveJnpUB7pLjsu55Pj2DFbHHi9ceKjUwwPjDO7Kwsyt+aAUmlpKWfPnsXv99Pd3c3NmzcpLi5+xQ0IhDch5a9Dj46Ocu3aNW7dukU8Hsfn8710VxsNiGrozemkl5WQkyWjjFzhzp/+B//rv/9P/tv/beLbR1HCqMACkWCAyaDGUsKK1WrA9tR3h8FoxmbXkYwuMTcZILS0dZfM1el07NixgyNHjuDz+Whra6OhoYHFxcWNLu29ldItdF9fH5cuXWJ2dpb09HQURWF0dJSBgQGysrJe4tqzDJqX9II6Dp7NJmdXH2P9PfR09tA9cJlrywlimgWHs5L9Pg0lFiEaSbIqSaBI3+9i8w9mkxmrQSIZXiI4N89yOIyKc8t+sxqNRg4fPszy8jJff/01DQ0NlJSUsG/fPnEpawOkbKCj0ShXr17l2rVrFBQUUFlZycTEBM3NzcTjcU6dOkVlZeWLHUxSIC0DR56DqoxytlXXsrowzsePGrn898v8raWZ7qZCrlblkmdUSUQTaChoigGDQUZ5ap7J97PFZCQtAYk4iUSSBLCVZ5Dn5+dTX19PZ2cng4ODNDc343A4Xvz1Fd6YlAq0qqqMjIwwOjrK8vIyc3NzVFVVsWfPHjRN46uvvqK7uxuLxcKhQ4de4sgSKGnolTT0ZrC7vJCTTRH9THWl05rjIOzSMC/28OhqPxP3osRKD1JTUU9tkQ2fAtraIgtD9+lpu8X1YB627YV8vq+CytyX7P5vQoqiUFZWxunTp/nP//xPmpqasFqt5OXl4XQ6n38A4Y1JqUDPzMxw4cIFbt26hdvtXr/WbLVa6erqwuPxYLFYSCaTLCwskEgkXn1P5LUFZvsfMhWE+M5fse/oTk54urj/1XnOtetJ++x3nPzX45wqseBWILkwhv/y/+ZcYx9XlM+o++TX/Ndfl5PrTHtDe0puLKvVyvHjx5menubLL7+kvb2diooKCgsL0el0GAwG0tLS0Ov1KIqCTqdDp9OhKIq4dv0GpUygo9Eovb29XLp0iUAgQHV1NXv37l0fcS0uLubs2bMoioLf76ehoQGj0cjBgwdJS3uFnR3jSXTJBEaTjTTHNjKKy8gx99KzHGBx3o7LlIHNZyfDCDpgbW2O+ZFeRscWCFYU4S6qoiIzZV5+gPV7yh8/fszAwAB//OMf1/fPjkQiJJNJTCYTXq+X3Nxc8vPzKSoqIj8//9XeA+EnUuYT9eDBA65cuUIwGKSmpobTp09TWFi4/nOfz8enn36KTqfj66+/5v79+0SjURKJBHv37n35CRF6BV2aG5tdJcdjwma3I9vKKSrJpHwwyOh8gFE/hNPBhoaaXGJh1YQuzcq2Uh/ZXh1RINWGjUpLS/ntb3/LV199xcWLFwmHw7jdbhRFIRaLIUkSLpeL7OxscnJyyMnJIT8/n5KSEvLz88Wm868pJQIdCoVobGykpaVlfVO5n7sdUq/Xc+DAAfR6PX/+85/p6upieXmZYDDIJ5988vPne8k4IJHQKeiA9c5hYpWxoImlpJeSAgclOWYsUgklpfmUDywzuDzD+OgqkUoLNiVINDLP9KIT1eRj5/ZsthVtzDayb5vFYqG6upqenh66uroIhULs3buX/fv3Y7PZCIfDBINBFhYWCAaDXL16ldXVVQoLCzl58iQffvhhSu3u+a7pvvjiiy82uojXsbi4SGtrK+fOnSMSifD5559z6tSpX5w4YjKZKCgowGg0EgqF8Pv9jI+PE4lEsNvtP2qp46z5Oxi4dZmrtx7RPjjHfHCGuWk/I0N+eickYq4ytu/ZRkWWFacuDbO8SCS6yvBEjFhch9ulEpvvxt/Zya1BK1rhQY5+soeaAjNOnvqCSCEGg2F9c4KlpSVycnL43e9+x5EjR6ipqaG4uBiPx4PVaiWZTLKyssLk5CRTU1Osrq5isVjweDzi3PoVbPlA3759m7/+9a/Mzs5y4MABPv74Y3Jzc5/5O7Is4/P51ver6urqoqurC6PRSHl5+T/P57QYyw8u0PHdV/y/C3e42jPFzGyAmfExJmbWiGduJ79mL1WFTjL0MrKsIDusGHQS0bEJoitBlqQYc8P9TA0FCWZ8QFH9MT6szCAvTU7JFvoJp9OJ2Wymp6eHwcFB7HY7BQUFmEwmrFYrHo+HwsJCdu/eTVVVFbIsMzAwQE9PD+FwmMzMTHGzxyvYsoHWNI2pqSm+/fZbrl27RklJCf/2b/9GeXn5C21dYzQayc7OxuVyMTMzw+PHj5EkidzcXJxO5z/WFtNIRoKsrkZYipvQWbxk+LLwZfnIyS+idMd2ykq85JifCqfixGxz4DTpcdj06IxpKLIZa0YJRXv2sbuqiLJ0GUOKf04VRcHpdLKyssLw8DB9fX3IskxFRQWKoqDX6zGbzTidTvLy8khPT0eWZSYnJ+nv72d4eJi5uTkURcHlcqXszp9v2pYNdDAY5MqVK1y7dg2dTsepU6c4efLkS4+Wer1ebDYbkUiEubk5YrEYubm536/CIenQu3LILK2mYvsuqnbsYEdlNZW7q6mpKqMk00664cfzZ2V0aS7SC/LJzvaR4XCSkVdG4a7d7CrOoMAmoU/xMD9hMBjweDyEw2Fu375NKBSiqKgIr9f7k4B6vV6KioowmUxMTU3R29vL4OAg8Xic9PT09cALz7ZlA93Z2ckf/vAHpqen+eSTT/j000/xeDwvfRxJknC73cTjce7evcvo6Cg7duxYHyGXZD1KmgO7N4NMrxu3x43bkUaaTkaWfukcWEKSjRgsduwWG3aXG6fdiFknpeQ587M82bBgdHSUiYkJ4vE4Xq+XjIyMHzxOkiSsViter3d9Wu74+DjDw8Mkk0k8Hg8Oh0O01M/xjka5VbT4KuHlEIvBMKsxFcmgQ5ONyDozDpcNp934whMsRkZGuHnzJtPT0+zcufMXR7VflNls5oMPPuDcuXP09vYyOzv7M4/SIRt1vFz7r0M2WV7yd1JPdXU1//Iv/8Kf//xn2tvbyc7Opri4+GcHLn0+Hz6fjz179pCdnc3ly5dpa2vDbDaTnp7+ky+CzUVDi4dZWwqyEFplOaZDU/QYFQ0pCZregt3rwWGS31rw3l2gw6PM99+jpW2KoQUFV74Dc5oJLW4hc1sF26rKyLVKz129Y3FxkfPnz9PU1ERubi5Hjx4lOzv7tSu02Wx4PB4URWFmZoa5ublXavGFnzKZTNTW1tLT00N/fz9tbW2UlpZSU1OzPvHkx9xuNydPngTgD3/4Aw0NDVRUVHD8+PF3WfpL0tAis8x1X+dO9xA9kQz0bh+FTg3dWoSYzo2noprSbTnkmXkrMwTfUaAlJC2EtjxM38A0D1YKqCt0UZQ2S3D0PvcXQwwnnXy000NF+i+fJ83Pz9Pe3s7XX3/NgwcPOH78OLFYjFu3br3WpuSyLBOJRJifnycSiXD79m1MJhM5OTkYDAaxS8RrUhQFRVFYXV0lEonQ1NRELBbj2LFj5OXlIUnST94/RVEwGAwkk0kSiQQPHjzgP/7jPwgEArjdbvR6/Ya8L0/qVFUVm81GYWEhPl8W3w/Gy2iaSnSql6lHPTzUH8PrdrPTpWGJDzM71kdnU4SJyUrqDxZQ6DS+8Zty3sVzPJQAAAgcSURBVFGgdUjJGAZ1jZjJi957gF21lRzXXaL78Xlu9qt0G/ZSke2m4hkTthYWFujt7WVmZgZN01heXqa7u/u1tzpVFIW1tTUCgQCqqjIwMEAkEsHn85GWloaqqq/1hfG+0+l0SJLE/Pw8ZrOZkZERLl++TCgUoqSkBFmW0TTtB6+xLMvrXwJ2u51gMEhzczNjY2OUlpZiNptJJBLv/H15UmcikSAnJwe9Xo/P99SOnDqF2EoULa5gLa6gaN8B9pWAU2fD39LCoz810z4wjyHr16RVZZKne7NzEd7ZTDE1uMhKYI6kaQfObTvJKXBinIiyNr/A6koUVW9Aes7wr9FoxOfzUVtby+zs7Po87UQi8drf1pqm4fV6MRqNqKq63jK/iWO/7568fg6Hg/LycnQ6HSsrK+j1euLx+PpA19PhTCaTJJNJDAYDJSUlWCwWJicnkSRp/WeJROKd/1+eDvST5//npfIoiWSQwKxKcNmFJ8tLUYkRtwUUysjMGiRHuop/IkzX4yNk5maS7X2zIXxn59Ar00HG+qeJxfOQtHGG7/ez4h+nm51k79pHQaWbXOezL0ukp6dTW1tLZmYmwWAQTdNQFOW1v6WfdPmi0SixWAxN0zAYDBiNxvXWQ3h9it6AqkH9cohYdA2z2YLJbEanU9BJGmoyQSKpklR/2FIDhMNhQqEQer0ep9OJXq/f0F07EokETqfzR4N0i8SXRhgO6piM57M93UrJ+t2xDhRLFgXuMA+C44xPrTC2AOobnuX6jgIdYja4yvBYjIR1muTEVTruDxBdlQkXHmfPwf2c2GHD+5xbg00mE/n5+fh8PmKx2BvvCj/d7ZMkScxSepMkCZ2sQ5Il1GQSNZlEkiUk6ft/kwFNU1FVDfWp9/TJ+6CqKvF4HEmS1m+53Mgv2ieNyQ+Ws4oFiM2OMBk3sGAvwmt3kA/rk440AE0FNUlS1VC1f/zjG/yYvYNAr4E6xmQozNBKNpa8QoqLTegSK3QFYGJWYodqxGHX8bxl+2RZxmg0iqVttiwNVseZnYsQjCrIMujVNaKxBKtYMLkyKPTZMG/VS80L06yODbMgO4nnbsNpc/LPMfwoyUSI+UU94ZgTl8uI2/nm5/K/g0CHYPExM8trTFur2bn9Q86esmCrTqD8n3b6Ozp4mJvB8AEvO/Spdzuh8ESU6HQ/owMD9E2vsaBaMBllzPEAywtBBqPZmPP28kldMRVZW3NBpuTMPHMjs6hpuThLi3CkP3VJLjnK0swoI0vpRCylVObbyfeA7g0n+u0Hem0Fxh+zHImxmrUTV3El2bYYGJykpyWIBOcJBpcIJzXemzmR75vIFCuPb9J6f4x7My6s2blUlKRjVyQMa6ssSxMMj0UJLsishje62FeVYHFmmYnRNfQuO4U7svFk/PNnicG7+O91MajkIVccprIgnaI3PMINbzvQapS1yVEmb3fjHzWw4lRZjswQGB0lOjzM8LIBa0kJ+YU+PDopNW7OFp6iAWFWxru5d+Uy1x+nMVe0m+MVu6mrcX6/QUHMRHTayJornUDSiy1tCy7IpEaJrw7x6NEwtx+ssFAVIVOeZ2VBZSYZI5mYZ7bTz9BsGtbKD8jfV8P2DBtvYymHt5ghDRILzI32c+fuEINjDqJlfmaHwzQNPmJ6cITH8RzKjx9kf20JOcp7sEj4eycK4R78Dzq40BZm3LGNfbVlVJc6/7nbiCELY6aOCtlEdtyK17YFe2mJBZb8d3j0sI97wxGSnhmy/Xfon4szsTjHaiRMMGSDwlMcq6xiZ6mHrLe0NuRbbhRlZGsm5rLDVGZa2J7vJdelQ1lyYfTsoiKjnOK6KqqLHFi34PsoPEdilehIB48f9HJ3OY/MXXvYv8tHyQ9me1rAmEeGT8aj6n+w5PHWISPpbGSU11CtJdEXFVFq1+GQQNIbMKgGnMVFeIt3UF1ix/sWB4reYqAl0Lvw7DjGofw69qkyGNPQy9o/1qMGyWDCZLNiEn3tlKRFVlno7WN8YpZo1mFcpaVkp+l+9KHTATr0W/kzoHdhLzzKkX+tY29UQjboMZgUdJqGlkygahKaYsKQZsLylsf73u7LKOkxmJ0YzGJt5vdRMr7G/ESAhYUwxuJMPNmZWFPxvErSo5icOEzg2OBSUvHlFTYJTdNQ1e9ncymKAb1Bh+7nxrw0MVf+TRGBFt4anaLH4bRjs6SRWIsQXo2j/ji3aoLY2hrxWAwxY/71beUzF2GTk412PDtqKJ4Bz/BDAvdctHu2UZxpwq6oaMkk0TioOgM2qwW7mFX02kSghbfHYMe06xgVyzL7Ag/oH2yixbVGsMxHkSWJlEgQ09lJS8/GYNW/d8szvQ0i0MLbIxuQLNvIrYQP1+zkTEdZssvok0kSmgGT2YQpzYbJmkaaXhaBfgMkTYxGCG+dihpfI7qyxPJKhJW4gpRmxeEwY01T0Ekysvz+LaD4NohAC+9Wco1oVCOpM2I0pvZmAxtBBFoQUoi4bCUIKUQEWhBSiAi0IKQQEWhBSCEi0IKQQkSgBSGFiEALQgoRgRaEFCICLQgpRARaEFKICLQgpBARaEFIISLQgpBCRKAFIYWIQAtCChGBFoQUIgItCClEBFoQUogItCCkEBFoQUghItCCkEJEoAUhhYhAC0IKEYEWhBQiAi0IKUQEWhBSiAi0IKQQEWhBSCEi0IKQQkSgBSGFiEALQgoRgRaEFCICLQgpRARaEFKICLQgpBARaEFIISLQgpBCRKAFIYWIQAtCChGBFoQU8v8BRYtIlNFl79kAAAAASUVORK5CYII=)
Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.
In the figure
then ACD=
![](data:image/png;base64,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)
Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.
=
=
If
and
then
=
If
and
then
=
If
then ![sin space open parentheses theta plus pi over 4 close parentheses equals](data:image/png;base64,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)
If
then ![sin space open parentheses theta plus pi over 4 close parentheses equals](data:image/png;base64,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)
The minimum value
is
The minimum value
is
In the adjoining figure,
and
then ![left floor b plus left floor c equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle b+c is 90 degrees.
In the adjoining figure,
and
then ![left floor b plus left floor c equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle b+c is 90 degrees.
In the figure,
and
then the value of x =
![](data:image/png;base64,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)
Here we used the concept of angles on same side of transversal. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.
In the figure,
and
then the value of x =
![](data:image/png;base64,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)
Here we used the concept of angles on same side of transversal. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.
In the following figure, the value of x =
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUkAAAFDCAYAAAC3EfzOAAAgAElEQVR4nOzd6VNUaYL3/e/JfSWTLUlI9lXZEVFRXEARFMsqe5no6ft5Imbm1cT8Q8+bienpiO65e6LLKvcVUXFBBVRQFhHZkiVZkj3JPc/zwoJuu6pcUAvR6xNhR1R05jlXnuT88jrXKsmyLCMIgiD8JMVGF0AQBOFTJkJSEAThNURICoIgvIYISUEQhNcQISkIgvAaIiQFQRBeQ4SkIAjCa4iQFARBeA0RkoIgCK8hQlIQBOE1REgKgiC8hghJQRCE1xAhKQiC8BoiJAVBEF5DhKQgCMJriJAUBEF4DRGSgiAIryFCUhAE4TVU7/NmGZDDEQAUSgmQPkCRBEEQPh3vEZJ+fMvTvOiYYCWsI7EkC5vFgPbDlU0QBOH1IhEiERlZqUT5kepo6w9JeZqlkRZuff+Y4ZCDcmsclUUGHJKoTwqC8MuQI378i/MsLiywsOLHFwRZqUKtVqNSa1ArlahUMsgSskKLxmDCZDZgeofkW39ILg6z0HWDR3fv0Roux1NZgyM9kaQoEZKCIPxCIj687gEGHjTT2vaExy4Jb1QqKal2HPEGtCEPwcUpZmZ9LGIjOnc7pbu2szPPSoL67U6xzpAMsTLmYryzl3n3M0YjVu53OinJz6CsSIt+fQcVBEF4N5IChUoBc/1MPLpCY6eWxZR91EZFk2jTI4cDBH0reOfGmZzoprdvgP6RSaYO7qWmPJVkE2jecIp1hKQMYTdOp48Bl554mw6Hfw7Xsy66u7Nx56aTrBV1SUEQPj5JZcRozyUrO4O8tHis4xYUaeVsP3CQhuJYdOEQ4YAP3+wzRh+c58LFB9w6NcjIjI9lza85Xmol8w21uncPSdkNi70MzERwarZRuD2EdmKas/2P6O3Io7c6DatNwrTODy0IgvDWJBVqfSxxtgSS7HHExMWhSkwjIyeP3BTD370wjTwbBKacDD9/xL0b0VxMyiHDto2kLBO615zincdJyssTeIa6mPYriOTXUFT9FbWFDnJ9z5nue0rr0DLjkXf/rB+Kz+fD7/cjy/LGFUIQhF9QhHA4TDgigxxGDgUJBPwEX3mNEUVGNWU1tRzdHk3SYhfP7rTwqH+KKfnlcMaf884h6Z2cY/TJBD7UJFRuI21vPUVFuZTFuImMP+Xh4zGGJzcmJScmJmhqaqKpqYmRkREikQ1Ma0EQfiERZFn+u38RIuEw4X98mWTFnrmF7cUO0rRzLA520Ts0zdAK+F9z9Hd43I4Ay8yMu3j0eJaZ2BkSdiwyG1ajlEzEWvxIff30PnhKX1EiexOta1XYSCTC5OQk4+PjzM3NEQ6HkWWZSCTyQYJMrVYjSRJdXV20tLSgVqspKysjPT0do9G4di5BEP5GkiQk6WX/wWrAfAokSUKpVKJQvKzDKRQKJEkiLi6OtLQ0rFbruo+tMFiwOxJJjH6GcnqayelFxpfBZ+RnH7nfISR9EOxjcmqQR04vC4vj6Lvb6BnToBjx4NPpUHinmXnaRu9gPi92WslTvDxBOBTiwYMHnDp1imfPnhEIBNa+lEgk8t5fzupFXFhYYHZ2FoVCwYMHD9Dr9SiVyk/qD0AQPhWr9w3wSk1sI6yWYzW4/z7AV1VWVvIv//IvlJeXr/9Eai16owGdVkIZ9uHzBvH6ICLzs2MX3z4k/SuEhp/idk/jjstAF5tAnBxC41MgRTtIKi0ia7iTWdcjnvfs5vFEAcmJYFG8PLff72dgcJCWlpa1Q9psNvR6PZFIhFAotP4PzsuLGwgE8Pl8+Hw+ZmdnMRgMWK1WJEkSNUlB+IEkSa9UUFZrbRt5jygUCrRaLUqlEr/fz8zMDCsrK6+8xmazvXdOIMvIERk5IiGjQKlSoFS/fmz3W4dkZHmBySfjLC7pSKzcQ1p6KtviZfQqCYUyCV+eCb9rFs+VUca6e3nYsZ8KixWLCVQaNfn5+ezbu5ehwUFGRkZISkqisrKSvLw8dDrdWu1yPVa/5JmZGbq7u2lrayMQCLBjxw527NiBXq9fe8QXhC+dUqkkHA4zMTGBy+VCr9djs9mwWCyoVC8j4Ze4V1Zri6s12lAoxOLiIuPj4/T09NDX10cwGESlUpGdnU1lZSUOh+P9Tur3sDg3z7xHIqKJxhptIMYM6tek5FuGpBefz03viJKFcAol27aQn2onXR1ELYGkTiScFE1o11Nmnjv562g3T9r6GCkrJ9ekBCQy0tM5XFvL+Pg4Z86cIRQKYTKZ2L17N1lZWe/1paxe7Lm5OVpaWpifn2dkZIT09HQOHTqEw+H4UdVdEL5UqzXJ8+fPMzg4iEKhIDc3lx07dhAdHf2LlkOlUqHVallZWeHJkyc0NzfjdDqZmJhAr9evVXSKi4spLS0lPj7+vc4ZWHQzPDzG+LIaKSaVtMQYMvS8ds2JN4RkBDmwxMr8Y562t3KpewF/XCoNWi0OswKDtHpoLSopjgRbHPboIIGOe3Q0pXI1X41tXw7pFiMmk4mS0lK+np9ncnKSW7du0d3dzcTEBBUVFdhstvf68AChUAhZlmlubmZ0dBSFQoHNZiMvLw+lUvnexxeEz0lTUxPDw8OoVCqqqqpIS0t7/5raOszMzDA4OMjDhw+5desWg4ODmEwmiouLOXbsGLW1tWRmZr7mHlahVCpRKhVICgWSUoVKrfmHmTQyeId40dHOzUfTjKnTSC3fTllWPCkqeN0MxTeEZIDI4iBj9xu5c6GF5qex6AqyKJtawZsSi2WtO0gG7yx+XwBPMERofoipjitcPh9DtE5HbUU2hQlqoqKiqKqqwul0MjQ0RHd3NxcuXCArK+uDhKRKpcJqtWIymZBlGb/fTyAQWOslEwThb4xGIzqdjvn5edxu9/u3963D0NAQjY2NXLx4kY6ODmZnZ8nOzqa2tpYDBw5QUFBAcnLyG4/zt9EyPzPoMexiqesS92/epemFHjl7N3sPV7ItMwbzG479hpCUQFKiVMcTk7iV7QY7+swU4vQqiMjISD80eIYhAsr4raRV/orjRieDQRvmZCtmtRKlJLHaJBwTE8OhQ4cYGRnhv/7rv2hsbCQ+Pp7Y2FgKCwvfO9BUKhUajQZZlvF4PCwuLuL1ejEYDG9+syB8QSwWC3a7HZfLxdDQELOzs6Slpf0i53Y6nXR0dNDc3MyFCxfo6+sjISGB/fv3U1NTw6FDh9i6desbjiIjh1ZYmR1nrO8ZXc+GcQ7Psax7zKP7Vhwr8RjkIBGfhxV3P6Od93jgMqEpquTg4SMc351Odoz0xgV53hCSahSWLBy7bBwr8lMja1BojZiMOoy6vz+4EgxJxBXVsz9zH9t9fvxhJZLGgN5oxmxUvvLMn5WVxYkTJxgZGeHs2bNcuXKFlJQULBYLqamp79V+aDAY0Gq1yLKM1+vF6/VuyC+kIHzqEhISSE9P59GjRwwPD+NyuZBl+aO136+Oix4cHOTq1aucP3+ezs5O5ubmyMvLo6GhgaNHj7J161ZiYmLe4ogykdAyS5P9DI1OM7IgoVAE0HiGGOi4z+3lWEzhFYLzk8xMzzPjNaEp2EPDjj1UlmdRkCC9djriqjeEpAJJZUBnNaB77fhNCZRa1EYtFmM0ljedVKWitLSUr7/+munpaVpbW7lw4QIOh4NDhw6RnJy87i/KYDCg1+uRZZmVlRVWVlYIh3809l4QvnjJyckUFRXR3NzM5OQkvb29lJWVYbPZPngT1crKCkNDQzx58oS7d+/S2trKwMAAVquVqqoqqqur2b17NwUFBe9w70tISh06SyL20nr2mQtJW1AQMsYRG2clzqpHE/ET9thJ9ETwaRKIz84nvyCNTNPbTzd8r+0b3odOp6O4uJgdO3asdfe3t7dTVFRESkrKuo+r0WhQq9XIskwgECAYDIoxkoLwE2JiYkhJSSEmJobh4WFGR0dxu93v3YP8U2RZZnh4mHPnznH69GmWlpaIjo5m+/bt/P73v2ffvn2YTO+6LI6EQh2FJaWYQkcRBTV/a4x8tVnyh0V3JQVKpQLFO9a/NiwkAbRaLVrtywfxQCDwQRam+MdfITE2UhB+mkKhQKVSrc1KC4fDH61CoVQqiUQiLC8vs7S0BLwcjaLRaLBYLOsIyFU/zM75iINXNrTbV6vVkpycTEpKCgqFgtHRUYaGhvB6ves+plKpRKVSIUkSwWCQQCAgapKC8BMUCgUWiwWDwUAgEGB2dpbFxcUPfp6RkRGuXbtGc3MzIyMjWCwWcnJyqK2tpaSkBKPRiN//uiUmNtaG1iRtNhtVVVW8ePECl8tFW1sbDoeD7OxsiouL1zW2UalUri14sTpNUYSkIPyYRqMhIyOD9PR02tra6O7upru7m5KSkveo2f2NLMs8e/aMCxcucOnSJbq7u1leXmbLli0cPXqUmpoasrKyiIqKQq1+y70UNsCGhqRGoyE7O5uvv/4ap9PJyZMnuXz58lpPd2Zm5jsfMxAIEAgEgJcdRKu1yldF8HuDyLKEWqdG+ZONFB58s4u4vRpUJisJFjEYXfiQAoQ8XlYiWjRm3Vv1shKcY3HWy0LEiNlqwfqe+6QoFAri4+MpKCigubmZgYEB2tra2LdvH3l5ee917JGRER4+fMjVq1e5fv06L168ICEhgYMHD3L48GH27t1Lfn7++32AX8iGhiS8rPmVl5fzq1/9CqfTSUtLC6dOnSI5ORm73f5O4xtlWWZmZobZ2VlkWSYmJoa4uLi1dk8AAqPMjE/zfFyJ0hxPdo6NGN1qAIaI+FZYXvGwPOdmcdHDfEiPxrSM7NWhVSkIRiRkhQatTofRoEb9rq3AwpdLjkBwGc/8JK6xUUbHZ5kP6lHbMkhKTSEt3kiUVuLVn2M/AY8Xj2eR5Vk3c8sBPIooopaXCVtfPjGFwoqXq9vodRj0Kt7l51ytVlNaWsqOHTs4f/48ra2t3Lt3j/j4+LcchvMqj8fDwMAA169f58yZM7S1tSFJEkVFRdTV1XHkyBHKyso21bjlDQ9JeFnj27VrF06nk6mpKXp6ejh16hSpqans2bPnrS+o3+9ndHQUl8uFQqEgKSmJ5ORk9Gvv9+J9dpOHN9s59SKF6KJ9/D45npjVn/GV54w86uBep5vJSDS29CQc8T7Crn5u33Mzt7hCSKPBp7ATn5LDtopMsuMNb9xISBAA8LvxPL/O3butXHngZNg1hccvsaJLJ7niEAfqD1JdaCPTuPqGFZh+SteDLtpf+PAZ7TjSY7FHjTHV10GHc47lYICgykhQk0zGljy2lafg0KnefniLSkVxcTGHDh3i0aNH9PT0cP78ebKysqiqqnqnjzcxMUFzczNXr16lpaWFvr4+YmNjqa2t5fDhw5SXl5OTk/NJP1r/lE8iJOHlwNb6+nqGh4f505/+REtLC2lpaSQkJLz1TByPx8Pw8DATExMolUpSUlJITk5Bo1YDXpjtYqitiWsX2znn2s7WqG0cCwF4Cc6+YLj1FrdaX9C7GIUmOZEEvQm9b4SFiRcMT4VY8Icw6ZR4l+YI+PxoE6JR6Q1kGEAtZj4KPysCrOCdHeJ5Zw9dXeNMekBW6dCsjDH+pJ+hiUWmZStawwESi/ToWWBpqIPe+/e40+HCKaUQl21GrdGgXhjENTHOgFsiIgfRKJYJeGcZVEpo7XEoksw43vJRXJIkYmNj2bFjB3v27GFkZITbt2+zdetWsrOzsdvtbzzG7Owsw8PDXL9+nXPnztHe3o5KpaKkpITa2loaGhqoqKh49YluE/lkQlKhUJCZmcnBgwcZGBigsbGRmzdvsmXLFmJiYt5q/uby8jIjIyNMT0+jVqtJSkr625gvzzgLz+/R2zdI16TMrE+BQqVGgR+Czxm6f4m/nn5BXySdgiO17ClNJUnyMH/nAXNTISxle9mSZiNH9iH332RgcpRe5xwKowN7JqhFdVL4WSFggtn5afrmktFnF/C7f0rDpokQmrxPz4W/8u2dPnpu3qElJ5OK3ESyPW10XrvK9zfmWUwsYefxQ2xPjyFq9gUTd1wsYyb5YDUZMWocngmCz+/SseSkd2AZvcZMUsrr10j8R8nJydTW1tLf38/9+/e5fPkymZmZ1NfXk5CQ8LPvm5ycXJtaeOPGDSYnJ4mNjaW6upojR46wa9cu7Hb7pg1I+IRCEl5W/cvLy5mensbpdPL06VO+//577HY7x44dQ6d7ffP28vIyTqeTpaUlEhLsxMXbUatVwDJTo6M8e+hi0asi1hFP9GwURn0IKTDG2OOb3L18l9apXCx769hzcDu7owCfiyezC3gWZfTpheTmWskBULQRmXdxf8HD+CIEROe58CYRGUlrwZzhwG5LZ0eF5YfOmngKtE4mJm4z0D3E9MQLhqaXWG5v5PbNbnoi+yjeXkdtVSapQMQ3gHNyDl+cDVtRAYVGiCUWfHcZ6XbTMRtgyvPuxTOZTFRWVjI0NMT4+DidnZ387//+L3q9ntra2h8tobawsMDTp0+5efMm165d48GDB4TDYcrLy6mpqaG6upqKigqMRuPPnHHz+KRCEl4OC6qurqa/v5/x8XHu37+Pw+EgMzOT0tLS1z52z87OMjIyQjgcJjklhdj4eMBPxPuCvhduumYdOBLT2GWYo6dLjcI/xcr4GG3X7tH0YJ5AaQ7ZpenEhVfw+LVIy0Eksx6Dd5mFyVHGHCri/UsoRz24VjTootVEG0ElHrWF15GVEIknOt5KqdmEWm/4u95sA+b0VFKz0rE7tVgCw8z1D/D44iMeDGgw1hWQnRON0ePDq9HgDUpoonVoJC/zQ1OMpBvQzY7icYVYDEVhNquIWkevt0KhwOFwcODAAUZHR/n222958OABJpMJg8HA3r17MZvNhMNhZmdnuX37NqdOnaK5uZn5+XmsViv79+/nxIkT7Nmzh9jY2E3X9vhzPrmQlCSJ1NRUjh8/zsjICH/961+5evUq6enpmM1mcnJyfvJ9fr+f4eFhhgYHkZBIS0/DZo8hvDCJq7OTsSkV4axCHNoFVM+fYFJBeGaI+S4nHU9ddLq1JEmzMH6du84VZE0athQbqVnpJBv7cT2+yu2HYZ5IKkLzHuSoDFKK4ihKBP0ndxWFT4qkAIUZnUkiIUr56mNwWAYJNDFxqBOisKy4kLtHeNK3xHNPIiXyMAu9c1zqlAlZ8khJUGEvysQ+5uLxlb/gUgS4Ewb/khp1cib5GSZyYt7tUXutmJLE1q1b+e1vf8vCwgLnzp2jsbERnU6HLMtkZWUxPT1NS0sLFy5coL29HYVCQUVFBdXV1Rw4cIDi4mIsljet3rC5fLK3d1lZGb/5zW8YGxujubmZ06dP43A4sNvtmM2vrgAnyzJ9fX3cvXuX0bFxkpJT2VZajMMaZmn8BT3PfPij8yncvoX0+T6W+hUoZBmva5RJqYPBmRBz1izyo5TEBAaZGRlneKIbRUIW23Yk44jPINr1nOXRCVyaKPz6bNKSSyjIiGNLDKJ3W3gDCRQqJH4cXvLKMp4XkyzJOswFOUQrewj2PsPl0eGLTSHOsIJxcYqBgWlGF/uIzc5h+zYbpliJ6NHnuGYXmNPZwLKVwowCSlKNpL3HE+7qY7fP50OSJBobG7lz5w7hcJicnBxGR0e5c+cOw8PD2O129u/fz9GjR9m3b99r2y43s082JFUqFWVlZRw7dozJyUkGBwe5fPkyWVlZ7Ny585WgnJ+f58aNG9y4cYNAMEh5xQ52by8mxj9J96CT58o0opILybdpifFFkJCR5TCL7hlGfaNMe+LRJOWQVrSXfbu0yKNt3Dl5kevNj/jrzBEqDh3k8O4tbKv0EFBqCGtisETHkhinFwEpvJeV+Vl6epdYwcaW7ZnEu3pxP3GxEMzFlFFCXlkxh1J9TMY20fTdde5d6qJ/6TdU76lg39EiIsEAAZUBSR9HXFw0duPbD//5OUqlksrKSuDlE9qNGzfWhvWsrqq1Y8cOjh07RnV1NRkZGesaU7lZfLIhCWC326mrq2N0dJQ//elP3Lp1C4fDgc1mo7i4GHg5Sf7Zs2c0NTUxODhM3pZcDh0oISVOwVDncx48cjFpT8Wo8LHsHMU/OIrTvYTHo2FpeoLBhSUWtNnEpG8lZ0sp+Zl6FKlGNH0tDDx6xMn7yUiOvfzT3u1sjdvgCyJ8Xhb7cQ/10bFgI5RSyq7CODTLPm4vBAkabTiyC8nbso0sh0ymaZng4yaedndy704xyTmV/EvtFt5z0s3PMhqNWCwWdDodi4uLeDwepqenAaipqeFf//VfOXTo0FsNEdrsPukuB5VKRU5ODjU1NVRUVLC0tMS1a9e4desW8/PzwMshCLdv3+bJkydYo2OpPVTDrm2pRHxOWjtGePhkkkXnE6Z7b3HrdjPND/rpGJxi3u1kwT3O8GyIBbWNKFsSdovu5QVRpZOeX8SOogRigtMsvnjOytyHn/gvfKlkCMzjGezA6ZxiNrGM+OJKShJ0OKRlZEmFwppIdHw88QYACSk6j8KyAsqyjKjdI8wPDuBb+fArXK2uw3r//v21GTOrW6AolUq2bNnCV199xeHDh7+IgIRPvCYJL4OyoqKCqakpnE4nnZ2dfPvtt2RkZFBVVUV3dzeXLl3C6Rxl1559HDpUS3pGBitDLcwvLTI350Y58JSVRSf93kXUs0MMjc+yNL/CypKbyWAIX1hLskaLfm0+lxZtYjKZGXZiWoOsLLgJrHiAqA28EsJnIzRDYKKbzn43vZ5kHPmFlOXG4DBGQKVAr1Oh0ulQqdVoVhsxtVZi01JJT4nB+MJLaH6WoM8Hhg9bl+zu7ub27dtcvXqV9vZ25ubmKCkpYefOnWtThffs2fNB9qTaLD75kASIj4+ntraWwcFB3G437e3tnDx5Eo/Hw927d3n8+DHx8fHs27uH4uJi1AYLWlMymfm5LGBlMQIRrRZJr0IVMTI7t4hKbSQqOpYkyzIuAnjccyz7AqxtLqlUoDPo0FlMBE0WJOWmuFTCJy9AyD3K6OgkY1I6ptwidpUkkmYGiCDpdGj0OkLLKyy75/GGk16+TZJArURnNKKzxKA0RCF9oNXDV4f19Pb2cvnyZc6ePcvz58+xWq1UVFRw9OhRjhw5Qm5u7he5qd6mufMdDgcNDQ1MTk7y3XffcfHiRfr6+nA6nQSDQerq6jh0sAabLQFQookrpmR/CqllPnyhCBEkCC8jPZdouaOgK2gnyhLhUIaLR84Io6MjuGa34Mf2Mia9XkJh0NqSkFMyUOk3z4R84RMVWQZ3H319TromrGiTt1BUkvhDb3QIFkbwqlQEzTZCo0t4xpy4fVmA9uXiGCsryEoNhuRUDImOD/bD3d/fz7Vr17hy5QoPHz5kYmKCnJwcjhw5QnV1NcXFxaSmpn6Qc21GmyYkAQoLC6mvr+fhw4e0trYyMTGBVqulsrKS48ePU1rytzUoFQYbtjQbrz4UBEDzgKmeXlBa0KXnUFbtIbZ9gManD3nWYeNOXD45eh+BZy66pkzE5mzFVpFFdPTHaiIXPn9h8M8w96KVJzcvcbbFTZcvmcwtfUwPWdCGIoT9C3jnZpHNUQRzKtjqdiG7HvDwkQ1rII6E8BgLvYs4/QlklhVQWOpAq3m/5fvGxsbo7u6msbGRK1eu0NvbS3R0NIcOHaK+vp6amhqKioo+0DXYvDZVSBoMBrKyssjMzKS1tRV4OUNn27ZtFBYWvsUg1ghIGpQaPVFGHcbEPKLzraRrJEILXXQP9XDnfgRf/AJLQ0EGIlvJ31bEtl02bJYv7zFD+FDC4Bth6lkL1y43c/XeJKOyjietWq4ZlBCOEIkokbS5bP9/fkXlzkSO6xsZ7nMy3PGEu754cjUTOMeMzJuy2bNzCxUlZvTrHH8WDocZGhriypUrnDt3jra2Nrxe79pc7YaGBoqLi7FaX7v73xdjU4UkvAzFsrIyOjo66O/vZ3l5mfn5+bfbETEiQew2Uiuj+T8p0eiztpKSHI3NLKOQ4oid0rGiCROO6NGmlLI1O4HMgiyyY5Vs/hmowsZRgMqKMamQvCqJY6lLeKQwoVCIQDDyctMqSYfKmENh2XYqihNIskuMpw7RtaRHoZAJqeKwbEkmITaZLQVJpBgU67p5x8fHaW9v58aNGzQ1NdHV1bVWe6yurqaqqoqSkpIvsu3x50jyJtspy+Px0NbWxpUrV7h+/TqPHz8mNTWV//iP/+D3v/89cXFvGMwoh4lEZMIRQKlCpQCJCHJgCc+cG/dCAI9sRG+xEhdrxKhWfNrjpITNQQ4TCYcJhSJEZBkZGWSIrN1+EpKkRKnRoFZJKOQw4ZU5luZmmVmWCaqiMMdYibXo0CvffdKhx+NhZGSEGzducO7cOVpbWwkGg6SkpFBXV0dDQwNlZWWf3ZTCD2HT1ST1ej3FxcXExcWRmppKOBzm8ePHnDx5ErvdTkNDw+tXHpGUKJSgeKU5R4GksWBKMGCw+FkJa1Eb1GjFouPChyIpUaiUaN72jpOUKI1xWA0mDN4wAUmPXq94p1XHV7ndbm7fvs3Fixe5c+cOg4ODmEwmamtrqaurY+fOnWRlZaHXi3b3n7LpQlKhUBAdHU10dDSxsbFMT08zOTlJa2srJ0+eJCUlhW3btq1z/To1Cp2a998CSRA+EEmHxrC+9QHm5+cZGBigpaWF8+fPc/v2bSRJoqCggL1793LkyBF2794twvENNl1I/j273U5NTQ0jIyN89913a4uFWiyWTbPJkCB8DKvLmZ07d47bt2/jdDoxGAwcOHCAr776ioqKipdbm4iAfKNNHZLwcljQ119/zcDAALdv3+bs2bMkJSXhcDhE+4rwxfF4PGuL4TY1NXH//n2CwSDFxcUcOHBgbYqvuDfe3qYPyaioKMrLy6mvr2d0dJSenh4uXbpETk4OlZWVb1zNXBA+B8FgkJmZGR4+fMjp06e5evUqs7OzWK1Wdu3axfHjx9m/fz8JCQmfzWK4v5RNH5LwchOxhoYGxsbG+MMf/h9JMbgAACAASURBVMDNmzdxOBzExcWJwbDCZy8YDNLW1kZTUxPXr1+nvb0dn8/H9u3bqa2tpaqqaq2zU3h3n0VIrq6o/PXXXzM0NMTly5c5d+4cqampJCYmij8O4bMUCARwuVy0trZy+fJlGhsbcblc2Gw2jhw5QkNDA9XV1SQlJW10UTe1zyIkVxUXF/PrX/8al8vFw4cP14Kyrq5OzB4QPivBYJDOzk4uXbrEhQsXeP78OYFAgLKyMhoaGjh06BCZmZmigvABfFYhGRMTQ01NDYODg7hcLtrb2zl9+jTJycns2LFDtMUIm14kEqG/v5/W1laamppobGxkdHSU7Oxsdu/eTU1NDfv37/+iF6T40D6rkARITEzkwIEDDA8P8/3333Pv3j3y8vKIj48nNzd3o4snCOsiyzKBQOCV2uOzZ88IBAJrHTOHDx8mOzsbk0mM9P2QPruQlCSJ4uJivvnmG168eLG29aXD4SAxMfFHm4gJwmbw4sUL7t69y4ULF3jw4AFjY2Okpqayd+9e6uvrKS8vJysra6OL+Vn67EISwGKxrC2fNj4+TldXF6dPnyYzM5Pdu3eLYUHCpiDLMrOzs2t7OJ05c4YnT55gNpvZs2cPhw8fpr6+nuLiYrEgxUf0WYYkQGxsLA0NDYyPj/Pf//3fNDc3k5ycjNVqZdu2bRtdPEF4o+HhYRobG7l8+TJtbW2Mjo6SlpbGkSNHOHz4MEVFRSQnJ4uA/Mg+25AEyM3N5auvvmJoaIgzZ85w4cIFUlNTSU5O/qL26BA2F5fLxdOnT7l69SpXr16lp6cHs9m8Nt/64MGDlJaWinD8hXzWIQmQn5/P8ePHcblcPHnyhMbGRtLT0zl06BDx8fEbXTxBAF4+WodCIZxOJzdv3uTcuXPcvXsXj8dDeno6Bw8e5NixY2zfvh2LxSIC8hf02YdkbGwsBw4cYGFhAVmW6enp4S9/+QsajYbq6urPelN1YXPweDw8evSItrY2njx5QldXF7Ozs2RkZFBSUkJJSQnl5eWUlJSg0axzOXJh3T77kJQkiZSUFI4ePUooFOI///M/uXXrFjqdDrPZzL59+0RHjrAhfD4fk5OTtLe3c/bsWa5du8bCwgI2m43KykqOHTtGVVUVCQkJa3s3Cb+8zz4kV6Wnp3P48GG6u7v5y1/+QlNTEykpKWRmZpKdnb3RxRO+MIFAYG2F/Zs3b9LZ2YnX66WiooL6+nr27t1LQUEBsbGxG13UL94XE5IKhYLc3FxOnDjB+Pg4V65c4fz586Snp/Pb3/6WhISEjS6i8AXw+/2MjIzQ1tbG5cuXuXbtGrOzszgcDnbu3Lk231r8PX46vpiQBFCpVFRVVTE5OcnY2BhdXV2cPHmSxMREvvnmG/FII3xUXq+Xjo4OLl68yKVLl+jv7ycSibBjxw6OHTtGdXU1mZmZYp2BT8wXFZIAZrOZAwcOMDg4yMzMDK2trZw6dYr09HQKCgpE+6TwUXR3d9PS0sL169e5ceMGLpeL3Nxc9u7dS01NDZWVlWK+9SfqiwtJeDm/++jRo4yNjXHq1Clu3bpFZmYmJpOJvLy8jS6e8JmIRCJrK4VfvHiRCxcu8OLFCyRJoqqqiq+++or6+nqysrLEj/Mn7IsMSa1WS1FREYcPH+b58+fcu3ePS5cukZ2dTWJiIlFRURtdROEz8Pz5c5qbm7l06RJtbW24XC6ysrKorq7m0KFDlJWVkZ6evtHFFN7giwxJAIPBQEVFBcePH2diYoKuri7OnDlDcnIye/bsEePRhHVzuVx0d3dz/fp1Lly4QFdXF9HR0Rw4cIDDhw9z+PBhCgsLkSSxZ/Fm8MWGJEBKSgoNDQ0MDAzw5z//mWvXrpGcnIzD4RDLqgnrMjg4yOXLlzl//jwdHR1MT0+TlpbG0aNHqa+vp7CwkISEBBGQm8gXHZIqlYq8vDy++eYbnE4nFy5c4Ny5c2RkZGAymcSy98Jbm5iY4MmTJ1y7do3GxsYf1R4PHDhAaWmpCMdN6IsOSXg5I6eiooLf/OY3TExM0NnZyffff09CQgInTpwQj93CawUCAUZGRrhx4wZnz56lpaUFv99PdnY2hw4doqGhge3btxMVFSUCcpP64kMSwGq1UlVVxfPnz3G5XDx69GhtW9r8/HzR8yj8JLfbzd27d7l69Sp37tyhq6sLg8FATU0NdXV17Ny5k61bt4q/n01OhOQPkpKSqKurY3R0lLNnz9Lc3Lw2LEi0Twp/b2lpidHRUZqbm9dW6wmHw+Tk5FBdXc1XX31FZWWl2EbhMyFC8gc6nY7S0lLq6+vp7+/n3r17nDt3jvT0dBwOB0ajcaOLKHwC5ubm1rZRaGpqYmRkBKPRSHV1NfX19ezevZvU1FQRkJ8REZJ/x2QysXv3bpxOJ+Pj4zx+/Jjvv/8eh8NBVVWVaJ/8gi0vL9PX18ft27e5du0at27dwuPxUFhYSE1NDQcPHqSyshKLxbLRRRU+MBGS/8DhcPDVV1/hdDr505/+xPXr10lKSsJut5Ofn7/RxfsCRYgEg4TCEcJyhHAEZFmBSimhUEggvfxvSVKgUipQKj9s50gkEmFhYYEHDx5w9uxZmpqacLlcaLVa9u/fz4kTJ9i3bx8JCQno9foPem7h0yBC8h+srhbU0NDA8PAwFy9e5MqVK+Tm5mI2m0lJSdnoIn5BlglMPKPrcR/PJ1ZY0ZjR6nXo1RJKIsgRH2FJwqdIwhKfRWF2HKlxH25vdb/fz+PHj7l9+zY3btygo6MDv99PcXExu3fv5sCBA2zbto24uLgPdk7h0yNC8idIkkRZWRm//vWvmZyc5OnTp5w9exabzcaxY8dEe9PHJgcI++ZZGO6g5/FjHjydYGRZgyY6jmirCYsOpHCQkGeU5aU5+j05GNP0mCxRHyQk/X4/c3NztLe3c/nyZRobG+nt7UWWZUpLS6mrq+PEiRNs2bLlA3xY4VMnQvJnxMfHs2fPHnp6ehgbG+Phw4ekpqaSk5NDUVGRaJ/8mCJTLA+0cP1kIzd7fCxn7SRvbwnlDj1WnRqtCohEiMw+YrL3LqPds7hmlpn3hN771MFgcG0vpMbGRp4/f47f7ycqKgqPx0MgECAUCqHVat//cwqbggjJ10hJSeHw4cP09fVx+vRpmpqaKCwsJCkpicTExI0u3udL6SeyMEh/WzttfTFYC7Op3rWHvQ54JZrmVnAtPeZWf5CxYAhfKPJep/X5fDx69IiTJ0/y3XffMTg4iMVi4fDhwxgMBu7fv8/c3BzPnz9ndHSUjIyM9zqfsDmIkHwNtVpNUVER+/bt4+HDh4yMjHDz5k2Ki4tFSH5MoSDBQIiwQoVSq0WnUqCW4UcRKEvISg0qlRKNUkIpyes+pcfj4eHDh3z33XecPXt2bWjP/v37+d3vfodSqWRpaYnr168zNDTE1NTUe31EYfMQIfkGsbGx7Nmzh6dPn3Ly5Ena2tpobGwkLS2NjIwMsZr5BxdgeaiPvsddPPeYIWMbxdl2thpkJPllb/YaTTy6tG2kZy0R9kC0JojMqy95k3A4zJMnT2hpaaGxsZHbt2+ztLTE9u3b2bNnD9XV1VRWVrK8vEx7ezv37t3D6XQyMTGBLMtiquEXQITkW8jKylrbu7u5uZkrV66QkpLCiRMnRI3yg4qAPMlEx13uXmvj8UIp1op9lBemUxgt8aPRPUYHUdlaSv0uEqch2fr2gRUKhVhaWuLRo0dcvHiRy5cvMzAwgF6vp7q6mq+//nptOwWlUoksy6SlpREXF8fY2BhTU1OsrKyISQZfABGSb8FqtVJZWcnQ0BADAwN0dXVx7tw5srOziYuLQ63+cMNOvmxeWHmBs7+bzt4FFuISyc3MxRFr+nFAAkg6lFoH2bkWkh0BdCbDW9cie3t7aWpq4sKFC3R2djI/P09OTs7aeo/5+fk4HI611+t0Oux2O/Hx8YyOjuJ2u3G73SIkvwAiJN9SbGws+/fvZ3h4mD/+8Y+0tLSQmZmJzWajtLR0o4v3eZA9MD/E1KSLsWU1igwbCbZYdK/9DZIwmswY32JUlizLjI2N8fTpUxobGzl//jz9/f0kJiZSW1u7FpA5OTk/eq9arSY+Pp74+HiUSiVutxuXy4XdbhcjHT5zIiTfweqWtENDQ5w5c4Zz586tzcax2+0bXbzNTw7C0iK+5RU8sgJ0enQ6HaoP1Ozb29vLpUuXuHTpEp2dnbjdbgoKCvjqq684ePAg+fn5PzswXKPREB8fT1xcHJIkMTs7y9TUFD6fT4TkZ06E5DvQarWUlZVx4sQJxsbGuH//PqdPnyYzM5PDhw8TExOz0UXc3CQZePlPlgFZfueOmJ8yMjJCR0cHly5d4saNG/T392Oz2Th69ChHjx5l7969bN269fVFkySsVisWiwVJklhaWmJhYYFAIPCepRM+dSIk35Fer2ffvn24XC7cbjddXV189913xMXFUVNTg0Kh2Ogibl6SFiwxGKPMRCnmmVleYHFxiUD4bRaNkH/4XwmJl4/WAb+f4ZERGhsbOX36NPfv3wegsLCQ+vp6jh49SmlpKQaD4a2Kp9Pp1gaRB4NBgsEgkcj7jc0UPn0iJNfB4XBw4MABenp6+Pbbb7lz5w7Z2dlkZGSQkZEhgnLdzGDNwJaYiMM8QN/8GOOj4yz6zGB5zTUNBQkH/YRUGlRqDUogFAzy7NkzTp85w9mzZ+ns7CQmJmZtp8IdO3aQl5eHSvVut4AsvwxjSZLW/gmfN3E3r4MkSWRnZ3P8+HF2797N4uIily9f5sqVK2KQ8XvRgT6L1PxSyotiiV15xlBrM23PJnGHf+r1IfBOMzk+xuD4InMrIVaHk0dkmenpaW7evElraytqtZqGhgb+/d//nX/+53+moKDgnQMyFAoRDr8siFKpRKVSiZD8AoiQXKeoqCiqqqo4cuQIqampPH36lNOnT9PR0bFW2xDWI47Ewl1UHSxnW8wsgadN3LjzhJtDIZb+8aXeaTyjT3kxMESPK8DCisRqH49apcIaHb0WhLm5uVRWVlJcXLzu7RTC4fArIalUKkVIfgHE4/Z7iI6Opra2FqfTyR/+8Afu3LlDeno6drud4uJicQOtixqdo4Qt1UuccCtR33Mx0nme82EnE5kx2Ex6TDoNWq0adcRLJOBlWZWAMdaIQate6+RRKJXExcVhs9mIiorCZrMRFxe37nGNsizj8Xjwer3IsoxWq0Wr1b7njKsgstfLUkiLSq/FIO7GT5L4Wt5TdnY2v/rVr3A6nZw+fZoLFy6QmJhITEyMWHtyvRQ2jDmHOPg7C3FpzTS19NLZNsLV7ljM1hhsVgMWkwG91UF0Sh75GRlsSbViVr/6YKTX64mKikKn07GyssLi4iKBQOCdH7Ph5aP2zMwMbrebSCRCVFQUMTEx6xv+I4eRg8ssTY8zNbWAO2BAHW0jMSmWWL0ajZjp+kkRIfmelEolxcXFa4v03r9/n/Pnz5Obm0t9fT3R0dEbXcRNSAEqK4acSsqN0RgS8sgeWWRWNqA2GDEbNOi1GjRmG2ZbOhlJscT8xBO0UqnEbDaj0+nweDwsLCwQCq1vOTW/38/k5CSTk5OEw2Hi4+NJSkpaV0jKM/24nrfT9txNnzuMghCywY7OXkRZYQZl2VGI/RU/HSIkPwC9Xk9lZeXafN6RkRFOnTqF2WymurpaTF1bNxOapO2UJG2nZB3vVigUmM1mDAbDWk1ytU3xXXk8HgYGBhgdHUWtVuNwOLDb7e9YKw2D7MU92kfXgw663VoWTHHYNF58E/2MOYOotWrikreSqpMQK1Z+GkRIfiCpqakcOXKEpaWltWFBer0es9lMeXm5WM18AyiVSqxWK0ajkZmZGRYWFtYdkgsLC/T09DA1NUVMTAwOh2Md36kfZCdDUwv0uO1Ep2WzZ2c2scoAi12PedE1wsKcnWeLeRg0ShyiW/WTIELyA1GpVOTl5fHNN98wOzvLn//8Z86fP4/VaiU6Opri4uKNLuIXR6FQEBUVhV6vX3vcXs/Ig0gkwtjYGD09Pfh8PrKzs0lLS1tHx5wMLDK74GdqJYailEIqizJQAnJ4FtXzJ7StuJkKyKyIPr9Phvit+oAkSWLr1q3U1dVRUVHB/Pw8V65cobm5mdnZ2Y0u3hdHqVRiNBrR6/X4/X48Hs+62iTn5ubo7u5maGiIqKgoSktLSU1N/dsL5AiRcJCgdwW/ZwVfIEwQgAiybwnv4hxzS368YSUROQqTToVFOc/K0iTDyATlIOOzi0x4NchKA9FaBToRkp8MUZP8wNRqNRUVFfzTP/3T2ooz3377LQ6Hg7q6ureeAie8P4VCgdFoxGAwIMsyKysr+Hy+dzqGLMv09/fz4MEDXC4XRUVF7NpVSVJS0g+viBCYH2Csq53HbV30r8SiKTjIzh1ZFGueM95ylSutUwyadrC16gD1RXbSs+14x530vGjiu/+vA2MkhHfRh0ebS3pyLltNEtYPfzmEdRIh+RHExcVRW1vL4OAgbreb1tZWTp48icPhYNu2besagiK8O0mSMBqNmM1mVCoVfr+fpaUfDUl/rfn5eR48eMDDhw+RJImCggLy8/OJior64RXyy50dx3p4fvcM10d0uIe0TIXCqGM7mX50h/st0/TFxRJO383eLYlkZ2eh9UzgvvOM1o5RVkIyKkcBCYXbSM/JIUsvIVYo/XSIu/UjWa05Op1OvvvuO27dukVOTg4Wi4W8vLyNLt4XQaFQYDAYiIqKQq1W4/V6WVpaIhKJvNX8+nA4TH9/P7dv32ZoaIi0tDRKS0ux2eL//iyoo5JJKjnIgcVJpJZOTk4+pPlqhOgcJdmJ+6j+ZxOVMUWkZUcRowNJ4yB2y1526PNIzF/GL0uoohOxJKWTEq8VAfmJESH5ERUUFHDixAlGR0e5ffv22vqTCQkJWK3igepjW33cXg1Jn8/H4uIiwWDwrbaEdTqdXLlyhZaWFjQaDfv376eiouIf3iuhMtqxbbFjswWwWuHZn8do6+lnOP0AJbvL2JubhEWlRCGvdgLowZxFemEW6YUf6cMLH4zouPmILBYL5eXl1NbWkpKSQk9PD1euXKGjo+Od28aEd7cakmaz+ZWQfJtrHwgEuHXrFqdPn2Z8fJyioiLq6+spLCz8+eaSmCSiklJICgaxhUPoMtIxZCYTo1KiAhQS7784pvCLEyH5kSUmJlJfX09dXR1qtZobN25w+vRp+vv7N7poX4T1hKTX6+XWrVv87//+L48ePSItLY1jx45RUVGBXq9/zTu1KJUatBEPKrwEdSZCGknk4iYnQvIjW23sP378OHv37mVpaYlz585x9epVMSzoF7A6f1ulUuH1ellYWMDr9f7s6/1+P/fu3eOPf/wjzc3NxMTEcPz4cerq6oiPj//Z9wHI3gBL036UGg/olpieXMI9DuFIGOQIYUCsD7X5iJD8BSgUCsrLy/n1r39NYWEhAwMDnDp1ihs3brC4uLjRxfusaTSaV0LydTXJSCTC3bt3+eMf/8iFCxeQZZnq6mqOHj1Kbm7uG1b8WWB6zMPQmIroaDVJCQHm3XO4XszinZnBF/CxEOGH8ZPCZiI6bn4h0dHRHDx4kOHhYdxuN48ePeL777/HbrdTXl7+Vh0JwruTJAmTyYRWqyUQCLC0tPSjmqT8wwK9jx8/5n/+53/WArKuro7f/e53bNu27Se+H5nQiptZ5zCT7hmWJRhfsBDRp5NblM7C4Bw93fd4EApRrEkkY6sejei23pRESP6CkpKS2L9/P4ODg5w5c4Z79+6Rl5dHXFwcOTk5Yv3Jj0Sv16PX64lEIiwtLeH3+1/5/0dHR2lsbOT777/n7t27RCIRDh48yO9+9zv27dv3Mxu8yfjcfTy7+D9cuz/MUFwFtl1fUVNcQv6Kk5nZq6get9Lj1/KgyIY1R0OOJG64zUh8Z78ghUJBUVERdXV1PHnyhPb2di5dukReXh6ZmZlikPlHolar1zpcfD7fK2Mk+/v7uXz5Mv/3//5f7ty5A0B1dTW/+c1vqK6ufs0OmBIKhQad0Yw5xoYlLpXUFDs5udEkBPexZVqmNrCI25KIPTEWs1aDVvwGbkrirvyFxcTEsG3bNnbu3ElfXx9Pnz7l1q1bbNu2jczMTFGb/AiUSiUGgwGNRsPKygozMzMsLi7icrk4ffo0p06d4uHDh5hMJgoLCzl27Bi7du16wxbBErrYXPLr/1/iqyJ49HaiYqJJNCqBAtL3JvG7LT7Qmom2x2LRiub/zUqE5AZIS0vj6NGjjIyMcO3aNRobG9myZQvHjx8nOTl5o4v32VGr1WvrSs7NzXHjxg06Ojro6+vjzp07DA8Pk5ycTG1tLfv27WP79u1vtaq8QheFMSWfH68WasQca8Qc+zE+jfBLEyG5AbRaLbt27WJqaoqJiQmePn3K999/T0JCAvHx8aIT5wNb7eE2GAy43W6amprwer243W4UCgXbt2/n8OHDNDQ0UFRUJK6/8AoRkhskNjaWXbt20dvby8TEBI8fP+batWtkZ2ezdevW9e2dIvyk1ZqkSqVibm4OSZIwm80UFRVRUlLC7t27KS0tJTk5WVx34UdESG6g9PR0jh8/zujoKGfOnOHy5cskJydjsVhIT0/f6OJ9NlZDMhwO4/f7KSkp4eDBg6Snp1NYWMiWLVveasEL4cskQnID6fV6ysvLaWho4MWLFzx8+JCzZ8+SmZlJQkLCG6bACW9LrVZjMpmIRCLIskxFRQX/9m//hlarxWAwiIAUXkuE5AbT6XTs37+fsbExpqenaW9v569//SsJCQns3btXDAv6AFQqFWazGY1GgyzLmEwm4uLiNrpYwiYhfkI/AQ6Hg2PHjnH06FFMJhM3b97k1KlTvHjxYt0bVwl/s/q4bTabkWUZt9vN3NzcRhdL2CRESH4isrKyqK+vZ8+ePfh8PpqammhqamJsbGyji7bprdYkzWYzAMvLyywsLGxwqYTNQjzLfSI0Gg3l5eV88803TExM0NPTw6lTp7DZbNjtdtHr+h5UKhUmkwmTyYQkSSwvL7/TCuXCl02E5CfEZrNRVfX/t3efX1Gea9/Hv9d1TW8UgaE3O0EUUIwlGgkaRMHEuNdea99r3X9L/pJ9Py/2s/adldiwJ4gxgr0biSDSi3SYClOfF4Z5bBDN1gzl+KyVN8kMc0D0x3Ge11l20traSn9/P7du3aKgoIA1a9ZQVFT0B6fQiLnMdpKzIen1enG5XAQCAUwmU7zLEwuc/BpdQFRVpaCggEOHDvH555/j9/s5f/48p06dkmH3f0DTNGw2G1bri70xXq8Xj8dDMCgHl4k/Jp3kAmMwGNi6dSuDg4P09fVx8+ZNjh8/Tk5ODkeOHJFlQX+Cqqo4HI43htsSkuJdSEguQDqdjm3bttHT08Pw8DC//vorJ0+eJCsrix07dsi2uT9hdrgNLzpJCUnxrmS4vUBlZGRQU1NDdXU1NpstdilVR0cHkUgk3uUtOiaTCZvNhqZp+Hy+2K2JQvwRCckFSlVVCgsLqaysZOvWrfh8Pn755ReuXLnC0NBQvMtblMxmMwaDIXZCeSAQiHdJYhGQ4fYCZjAYqKioYHR0lL6+PlpaWjh69ChpaWnU1NTIsqD3ZDabsdlsTE1NSUiKdyYhucClp6ezZ88e2traeP78OdeuXSMnJ4eCggI2bNgg6/zeg8lkwm63Mzk5KSEp3pn8DVvgFEUhPz+fr776ir179xIMBjl37hwnTpygq6sr3uUtKrPzknPddSPE20gnuQjMXkl7+PBhent7aW5upr6+ntzcXFJTU2Pb7cT8ZofbsyEpnaR4F9JJLhKz2xYPHjzIqlWraG9v5/z589y8eROv1xvv8haF1ztJCUnxLiQkF5GMjAyqq6vZu3cvRqORn3/+mdOnT9PT0xPv0haF2TnJSCQS25YoxB+RkFxE9Ho969atY+/evWzZsoWpqSkaGhr45ZdfGBkZiXd5C95sSKqqis/nw+/3x7sksQjInOQio9PpqKioYHh4mJ6eHlpaWvjhhx9IT0+npqYGvV4f7xIXLJPJhMPhwGg0EgwG8Xq9RKNRucZXzEtCchFyOp3s27ePjo4ORkdHuXbtGllZWeTm5lJcXCxBOQej0Ri7WjYYDMbmJWWbp5iPDLcXqezsbA4ePMiXX36Jqqo0NjZSX19PZ2dnvEtbsIxGIwkJCVgsFsLhMC6XC4/HE++yxAInIblIKYrCxo0bOXToEOXl5QwNDXH69Gmam5txuVzxLm9Bmu0kzWYzoVAIt9uNx+MhGo3GuzSxgElILmIWi4XS0lL2799PYWEh7e3t/Pjjj9y9exefzxfv8hYco9GIw+GIdZIejwev1ysHhoh5SUgucllZWdTU1FBZWYmiKDQ2NnLq1Cm6u7vjXdqCM3shmNlsJhwOxzpJuWxNzEdCcpHT6/UUFxdz8OBBtm3bxtTUFGfOnOHixYuMj4/Hu7wFRVVVEhISYsPt2TlJ6STFfOTp9hKxdetWnj9/zsDAAI8ePeLo0aNkZWVRXV0tp5m/5PU5Sa/XK52kmJeE5BKRnJzM3r176ezsZGRkhFu3bnH8+HGys7MpKSmRZS6/M5vNWCyW2IVg0kmKPyLD7SUkIyODqqqq2LbFq1evcuHCBTkt6CWapmG1WjEajUxPT+N2u6WTFPOSkFxCNE2jpKSE2tpaNmzYQG9vL/X19Vy9elXWA/5OVVVsNhsWi0VCUrwTCcklJjExkS1btlBdXU1OTg4tLS2cP3+ee/fuyfmJvFhfarVasVgsBAIBebot/pCE5BKUmZlJXV0d1dXV6HQ6GhsbOXbsGM+ePYt3aXGnqmosJGdmZvB4PIRCoXiXJRYwCcklSNM0ioqKOHToELt27cLtdnPmzBl+/PFHxsbG4l1eXM12kmazORaS0kmK+UhILmFlZWV88803lJSU0Nvby8mTJ2lsbFzW2xZnl/EanwAAIABJREFUO0mz2SxzkuKdSEguYStWrKCyspLq6mpSU1O5c+cOp0+fprW1ddneOa0oSuzBTSgUwuv1LtufhXg3EpJLXFZWFpWVlVRWVqLT6bhy5Qrnzp2jo6Mj3qXFhaIoWCwWbDYbiqLg9/uZnp6Od1liAZOQXOJUVWXjxo3U1dVRVFREZ2cn3333HZcvX16WHZSiKLELwXQ6XWxeUoi5yI6bZSApKYkdO3bQ3d1NKBRieHiYS5cukZaWRklJCU6nE6vVGu8y/xKKouBwOEhJScFsNuPz+RgZGSEQCGAwGOJdnliAtG+//fbbeBchPj6bzUZWVharV6/Gbrfz22+/0dzcTH9/PwkJCaSmpi6LE80VRUFRFHp6erh37x6BQICioiIKCgqw2WzxLk8sQNJJLiO5ubnk5uZSWFjIyMgI//u//0trayt6vR6n08natWvjXeJfwuFwkJaWhtlsZmxsjJGREVwuF06nM96liQVI5iSXoXXr1lFdXU1FRQWTk5M0NDTQ3Ny8bI5W0+l02Gw2DAZDbE5Sbk4Uc5FOchnS6XTs3LmT0dFRnj9/zsOHDzl69Cjp6el8+eWXaJoW7xI/OpvNhl6vJxAI4Ha75Qm3mJN0kstUZmYm1dXV1NXVkZiYyJUrVzh27BgtLS3LYpue2WzGbDYTiURwu934fD6560a8lYTkMpaXl8fBgwepqqoiHA5z8eJFzpw5syyufjAYDNhsNjRNw+PxSEiKOclwexnTNI2ysjK+/vpr+vr6uHnzJvX19WRmZuJ0Opf0016dTofdbsdoNOL1euXiNDEn6SSXOZvNRnl5Ofv27SM3N5cnT57Q0NDA/fv3l/TDjNmQ1Ov1eL1evF6vdJLirSQkBTk5OdTV1VFZWUkkEqGhoYFTp07R29sb79I+mtdDUobbYi4SkgKDwUBJSQkHDhxgy5YtjI2NcfbsWS5fvszk5GS8y/soJCTFu5I5SQG82Imyfft2BgcHGRwcpKWlhe+//x6n08mXX3655C4Sm72DW6/XMzU1hdfrjXdJYoGSkBQxKSkp7Nu3j66uLsbGxrh+/TrZ2dnk5eWxfv36JbW3WdM07HY7JpOJmZkZfD4fwWBwWWzNFO9HhtviFdnZ2ezbt48vvvgCTdNoamriwoULS25Z0OyuG4vFQjQaxefzLekHVeLPk5AUr9Dr9WzatCl2tFpPTw/19fXcuHFjSS2TmQ1Ju92Oqqr4fD7cbne8yxILkISkeENSUhIVFRVUV1eTkZHBw4cPOX/+PA8ePFgyZ1DODrclJMUfkZAUb5WdnU1dXR179+4lGo3S0NDAiRMn6OrqindpH8TrnaTX68Xlci2ZXwLiw5GQFG+l0+nYuHEjX3/9NTt37mRiYoL6+noaGhqYmJiId3n/MU3TsNls2Gy2WCfpcrnkbnLxBglJMa/y8nIOHz5MUVERXV1dnDx5kl9++WXRL5lRVfWNTtLtdhMIBOJdmlhgZAmQmFdaWhp79+6ls7OTkZGR2LKgnJwcSkpK0OkW7x8hh8MhISn+kHSS4g9lZ2dTWVnJ7t27AWhqauLixYuLftvi7IVgqqri9/txuVwSkuINi7cNEH8ZnU5HWVkZ4+PjdHR0cPv2bY4dO0ZmZiYZGRmYTKZ4l/inzF4vq9PpmJ6elpAUbyUhKd5JcnIyO3fu5OnTpwwODnL//n3q6+spKChg8+bNi3Y3zuzhu36/X04oF28lw23xzjIyMqirq6Ompgaj0cjFixc5evQo7e3t8S7tTzOZTNjtdqLRKB6PR55uizdISIp3pigKn3zyCYcOHWLHjh24XC7Onj1LY2Mjo6Oj8S7vTzEajTgcDhRFwe12S0iKN0hIiveiqiolJSV89dVXbNy4kYGBAc6dO0dTUxNTU1PxLu+9GY3G2Anssk5SvI3MSYr35nQ6qaqq4tmzZwwMDNDc3ExmZia5ubmUlZXFu7z3YjQasdvtANJJireSTlK8N1VVKSgooKqqis8++4xAIMClS5doaGigr68v3uW9l9k5SUDmJMVbSScp/rTy8nLGx8fp7Ozk9u3bHD16lMzMTI4cObJolgW9PNz2eDzydFu8QUJS/GlJSUns3r2bjo4ORkZGuHfvHsePH6egoICysjLMZnO8S/xDs8NtvV4fO3w3Go2iKEq8SxMLhAy3xX8kLS2N6upqamtrSUhIoKmpiePHj9Pa2hrv0t6JwWDA4XBgsVgIh8N4PB45CUi8QkJS/EcURaGoqIiamhoqKiqYmpri/PnzXLlyZVEsC3o5JCORCB6PZ0kdLiz+cxKS4j9mMBjYsGEDtbW1sdPML1y4wPXr13G5XPEub16z6yStViuRSAS32y2H74pXyJyk+CBmb1Xs7Oykv7+fpqYmMjMzycrKorS0NN7lzclgMGC322OdpNvtxuPxEA6H0TQt3uWJBUA6SfFBaJpGQUEBBw4coLKykmAwyPnz5zl37hz9/f1/4itGiISCBEJR5rwNO+zF55pkYsqP909OI86G5Mud5GxICgESkuIDKysr48iRI5SXlzMwMMDx48f56aef3m8IG/ESGOuhr/0JrW2ddI5O4349KUPjeIa66e14ytNnvXQ9dzP5xgE+c8ZrjKZpb8xJejweQqHQu9crljQZbosPymazsWvXLjo7OxkYGODRo0ecPHmSwsJCNm/ejMVimfvNQQ/B0XY6n7XxoKWb7p5+RnxGwimfsGbLNraX5bM20UtgqJOnT4fonwihmPTolQHGnrfzrDOftCQruaYRfJ4pOoeDBIJBNEsyxrSV5GQ6KUxSUF9b3ZOQkBB7ui2dpHidhKT44JKTk9mzZw89PT388MMP3L59m9OnT+NwONi0adMc74oQ8Y8y2XmXx7cf0/x4mNHn3YwMjdM9dZ20Th9Tuhq07B4iLc1cfKQxZlvHlrIkMrWnDDxt59bNLsKqjU3OIUIRH23DCsFpL3rLCnBOU7xJI3FjCslG5ZUhlNVqjd2/7fF4cLvdEpIiRkJSfHCaprF+/Xpqampob2/n4sWLnD17lpycHPLy8khKSnrtHRHAg9fvZcjrQJ+yka1VeqK+cUbbrnDtwk3a269z5XoeJssjUocfMmj6HEtBEfmFdnI1MEwP8eDqPe62hhktzGL15jUUbU7BHJohMDXJYG87Ux0aHau2gtFMykufbjQasVgs6PX62LmSMtwWsyQkxUdhsVgoLS2ltraW3t5enj59ytmzZ1m1ahW7d+9+y7A7TEizQOomVucnk786GSPg+i2DAncnx/rGaR8e4vFEG7nePqZKE0jJKSQnG5LRYwl04IxeZqp9ij79OlYe2MHeA4UkAd6Ou9z67hwdQyp90xtJ5tWQVBQl1k0GAgGZkxSvkJAUH01qair79++np6eHf/7znzQ3N5OVlUVaWhrl5eUvvVIBLFjtBrILdBhNRoy//xe7I4O0lDRyoqlM5ySxQtEIj4zR9+QpyupRxopTSDFME5lx4YmqeBQzagR0SpTZqUedFiUcDBMKRiAKr284nA1Jq9VKMBiUTlK8QkJSfDSqqpKfn8/Bgwfp6enhxIkTXLhwgfz8fNLS0sjJyfn9lQpgxGA0YjC+/BUmmJx08dy0kZS1a1i9dR054z30Bx/RdOcyD04lcNxQwa6sCbT+KYJ55XxSrZJiDWMZauLijx3YIxF844N0K6mYM1aTZTaS+Fqds3fdWK1WxsbG5MGNeIWEpPjoiouLOXLkCIODg1y7do1Tp06RkZHB4cOH3zI/CRAhGpwiNHCV3x4/4sbYCoxJ69iRm8na4h2kuzt51H6B8zf/D9+5fuOuM5FP0hNI3lTJwSorWWM36X32hDsNv+LxBjAkpmMq+JTS9SWsspnmDEmLxcLg4CAul0s6SREjISk+uoSEBLZv305bWxu9vb38+uuvnDt3jjVr1rBly5Y3jlWLuvsYab/Oo6Z6TvzUQmN3NiumkkgvKSBjWylrd7j4W3cnk981cLRpgIe6tQzsOcDhypVs2OYkbwySklIg1Y9rOogpORNH4XpW5a0g2fD24fZsJxkIBGS4LV4hISn+EmlpaezZs4e+vj6+//57rl+/zqpVq0hMTGTDhg2vvjjowT8+SN/QDGPjLqKDV2m7buB/09JxJFZwMD2T9A07KO8YY0Dr4VbfMM/7uvntYRvFhQmkZG5g5Y4NFHz6+24dRUFR1Xl3Trw8JyknAYmXad9+++238S5CLH2KopCQkIDZbKarq4tHjx4xPj5Oamoqa9eufaWbVBQN1ZyEPWMdBTnJ5OmGmRx20zWiI9E8ilkd5l63Ga9lNZs3Z1NoHmf8WQdtPX5cuhWk52eSY9NQVfXFP4ryRvf4uufPn/P48WNaWlpISUnhiy++ICMj4+P+UMSiICEp/jIGg4Hk5GSi0SidnZ389ttv+Hw+srKyyMzM/P93d+vMGBPSSc1eyaribNYmu5gamOJpyziRsUf4gmM8nF5PUtHn1FWtZ2PGDNGBNlrud9PjNmHLLyQ9K4Fk3ZtD67mMjo7S0tLC48ePSUxMZPfu3eTl5X20n4VYPGS4Lf5SycnJ7Nu3j76+PkZHR7lx4wZHjx4lJSWFTz/99M036FeQtKGINSVTZN3txf2ggx5LFD6341iZi8MZweGo5aB7huGhs1wbecTTZ2O0bcghPx2Mb37FNyiKgtlsxuFwYDQaCQQCuFwuOaFcAHLAhYiD/Px8qqur2bNnDwCNjY38+OOP9L71EjEd2EwkZKzAkpZC1B8hPOzBYDBiTlQwoIG5lNXb9rLrk1TW2cYIzPgYC7zYx/OuZkPSZDLFQlIuBRMgnaSIk3Xr1vH1118zOjrKnTt3aLh4kfS0NCo//5zEFakoej06TUENDUL/JG4lkZSyFNKsUyRbphmdGmOqz8uIQ49TH2Fm2oohpYCcVVFSsyykmt6vA7BYLCQkJLzSSXq93kVzoZn4eCQkRVwkJSXx2Wef0dPTw9DICE9aW/m///wn7deuk1RQhC47n/QUE47wFDPjXlzWlWypziFvpxFv2z0uD7bQ2WzhbiiDlTY/vv4OOpQ89KuyKVqdxieO9/vDbbFYYp3k1NQUU1NTeL1eVqxY8dF+BmJxkJAUcaEoCk6nkzVr1pCamsrjx4+5MTTExINHWNduRf1kE+vyLDgjQdzTyaSXpbCreBXlJh/PAs/4+X4bXWMaLSsCGFNGmXraTqvbiTltLTmpCeS+Zyep1+sxmUxomkY4HGZmZkaWAQlAQlLEmaZpGAwGVE0jAoSjLzZX6zQNnaZDVaJoOh06TUNTFRRVQ9Pp0et1GHSzR569+Pc6nQ6dTnunJT+vU1UVRVHkQY14g4SkiJtoNEp2djYVFRU8bWvjWVsbAYuJ3IJ01pYXkZvrxK6AXrOQmJlGmkEDNZWEggq2752gcMZG8gorJrMR3cpkNmclYktbwQrzi8B9nxtqDAYDNpsNvV5PKBSKdZLyhFtISIq4URSFdevWUXfwIH093Qw/H2AsGkY1RNiQn8baknIcDgdJFh0mvYam09DIJ704g70rXbgnpphwTeNXLBgTVrAhwUqCWYdep71zQHo8HlwuF4qi4PP5iEajrzy4kZAUEpIirvR6PUVFRdTV1TE4OMgvTU20PGlhW08Hm8s3k59qfe0dOjSDDrPBitmRiH3Kjy9qxGCzYte/32cPDQ1x6dIlbt68id1uJxQK4Xa7iUQieL3eWGiK5U1CUsSd0Whk27btDA4+p7evn6dtbfzU0MDKlSvJzvgSvX6O9FPMmBPNmN/z8yKRCH19fTQ2NvKvf/2Le/fusXnzZtasWYPBYEBRFAlJESOLycWCkJKSwvbt26msrCQxMZG7d+9y8WIDrU+eEPrAT5l7eno4ffo0//M//0NzczNGo5EtW7bw6aefUlhYiKZpuN1uvF4vkcj7LEkXS5F0kmLBKCgo4KtDh+jr7eXcuXOcPXeejMwsEpOSyM7O/iCfMTAwwPnz5/nXv/7FnTt3yMrK4siRI3z11VfY7XZu3LiBXq/H4/HE5iTF8iYhKRYMq9XK1q1b6erqoquriwcPHsSuo01NTcVofJed2HMbHBzkp59+4rvvvuP+/ftkZ2fzj3/8g//+7/8mLy+PiYkJzGYzBoMBn8+Hx+ORTlJISIqFxWQyxc6dHBoa4tatW/zwww84nU62b9+Oqv65GSK3283Vq1f597//TVNTExkZGfztb3/j73//O6tXrwZAp9NhtVpjISmdpACZkxQLUG5uLrW1tezfvx+z2czFixc5ceIEHR0df+rumUAgwP379zl69ChXrlwhKSmJv//97/zjH/+guLg49rpoNIrNZsNgMOD1eiUkBSAhKRao1atXU11dzfbt2/F6vVy8eJFLly7x/Pnz9/5ag4ODXLhwgcbGRlRV5cCBA/zXf/0X69evf+V1mqZht9sxGo2x4baEpJDhtliQzGYzn376KSMjI/T399Pa2srx48dxOp2kpaXNvSzoNR6Ph9u3b9PQ0MDo6Ciff/4533zzDZs2bXrjtZqmYbPZMJvNBAIBfD6f7N8W0kmKhcvpdLJjxw727NmDzWbj5s2bNDQ00NbW9k4PVEKhEE+ePKGxsZGOjg4KCwupqamhpKTkra+fDUmr9cUCdp/Ph8/n+6Dfk1h8pJMUC5aqqqxcuZLDhw/T19fHqVOnOHPmDFlZWSQmJpKVlTXv+/1+P9evX+fSpUvMzMywdetWKisr57y7RlVVbDYbdrsdVVXx+/243e6P8a2JRUQ6SbGgmUwmPv30Uw4fPkxpaSm9vb0cP36c5uZm/H7/nO+LRqMMDw9z+/Zturq6yM3NZfv27axcuXLOofpsJ+lwONA0Db/fH7vGQSxf0kmKBc9gMLBz5076+voYGRnh4cOHsfnJ7du3vzX0vF4vbW1ttLe3o9PpKCsro6ysDLvdPufnzIak3W5Hp9Ph8/lwuVwEAoH/eI2mWLykkxSLQnZ2NjU1Nezbtw+z2czly5c5ffo0XV1db52fHB4e5sGDB/T395OWlkZFRQUrV66c9zNUVcVqtWK322OdpNvtlrtuljkJSbEoqKrKqlWrqKqqoqKiApfLxeXLl7ly5QrDw8NvvL63tzd2t/fsCejJycnzfoaiKK+EpM/nk5AUMtwWi8fs/OTIyAg9PT08fPiQo0eP4nQ6qa6uRtP+/ymS3d3dtLS0AC/WXGZmZr7Tbp3Z4fZsSE5NTUlILnPSSYpFJTMzk8rKSvbt24fdbqe5uZkzZ87Q2tr6yrB7YGCA58+fk5yczNq1a3E4HO/09Y1G4yvDbblaVkhIikVFURQKCws5fPgwlZWV+P1+Tp8+TX19PX2/39vt8/kYHR1lenqatLQ08vLyYmsf34XFYsFgMDAzM4PL5WJ6evpjfTtiEZDhtlh0dDodW7Zsia2fvH79OvX19eTl5ZGYmMjk5CQejwe9Xk9KSgqpqakYDIZ3/vpmsxmz2UwkEsHj8UhILnMSkmJRMplMbNmyhdraWkZGRmhtbeX8+fOsWLECi8XC9PQ0mqaRmJhIYmLie4WkwWDAbrejKAput1tCcpmTkBSL1uyyoK6uLo4dO8bPP/+Mw+GgpKQEv9+PqqrY7fbYusd3ZTAYcDgcqKoqnaSQkBSLl8FgYP369ezbt4/u7m6uXLlCY2MjMzMzDA0NEY1GMZlMGI3G9zqHcvbhjaqq0kkKCUmxuOn1erZt28bo6Ci9vb20t7cDMDk5STAYRNO0995WOHsHt6Io0kkKebotFr+MjAz27t1LbW0tGRkZtLe3MzAwAIDdbn+v+Uh40Uk6HI7YnOR8e8TF0ichKZaE3NxcDhw4wJ49e2KhaDAYSEpKeuc1krNmH9xomobX65WQXOYkJMWSoGkapaWl1NTUsGnTJvR6PaFQCL/f/95XPuj1ehwOR2ytpM/nkwvBljEJSbFkWK1WSktL2b9/P4WFhczMzPDo0SMeP378Xt2gXq/HZrNhsViIRqN4vV6Zl1zGJCTFkpKTk0NtbS27du1Cr9dz5coVzpw5E9uN8y5mh9s2m41oNIrH48Hj8XzEqsVCJiEplhSDwUBxcTEHDhygrKyM4eFhzpw5w6VLl5iYmHinr6HX67Hb7bGtjB6PB7fbLYfvLlOyBEgsOYqisHPnToaHhxkcHKSlpYXvv/8ep9PJ/v37//Bp9+xicqvVGusk3W434XD4vRali6VB/o+LJWnFihXs3buXzs5ORkZGuHHjBjk5OeTn57N+/fp5g/LlTvLl4XYwGJSQXIZkuC2WrKysLPbt20dVVRU6nY6mpibOnTtHV1fXvO9TVRWHwxGbk3S73bjdbkKh0F9UuVhIJCTFkqXX69m0aRMHDx6kqKiI7u5u6uvruXnz5h9eFTvbSc6eBCQhuXxJSIolLTExkYqKCvbv309WVhYPHz7k3Llz3L9/n0AgMOf7ZpcAqaqK1+vF4/FISC5TEpJiycvJyaGuro6qqioURaGhoYGTJ0/OO+w2GAxYLBb0ej0zMzO43W6CweBfWLVYKCQkxZKn0+nYsGEDX3/9NTt37mRycpL6+noaGhoYGxt763sURcFisWCxWAgGgxKSy5iEpFg2Nm/ezJEjRyguLqarq4sTJ05w+fLlOecnzWYzVqtVQnKZk/UMYtlITU3liy++oL29ncHBQW7evElOTg6FhYUUFxe/sbzHYrFgs9kYHx+XkFzGpJMUy0p2djZVVVXs2bMHRVFoamrip59+oqen543XzoZkOByWkFzGJCTFsqLT6SgtLaW2tpa1a9fy7Nkzjh8/zrVr1944xMJiscSG2y6XS0JymZLhtlh2kpOT+eyzz+jo6OD58+fcvXuX48ePk5eXR0VFRWw3jtlsfqWTnG/JkFi6pJMUy1JGRga1tbXU1NRgNBppbGzk2LFjsesf4EVI2u322HFpMzMzcaxYxIuEpFiWVFWluLiYQ4cOsXPnTjweD+fOnaOxsTG2LCghIQGHwxFbK/lHu3TE0iQhKZYtRVEoKSnhq6++YuPGjQwMDHD27FmuX7+Ox+PBbreTkJCA2WwmFArhcrnkhPJlSOYkxbLmdDqpqqqio6ODgYEBrl69SkFBAbm5uTidThISErBYLLGQ9Pv9sXMmxfIgnaRY1lRVJT8/n6qqKnbt2kUwGKShoYEff/yR/v7+WDc5+4RbTihffqSTFMueoiiUl5czMTFBV1cXd+7c4YcffsBisZCUlITdbmdwcBC3243P5yMajaIoSrzLFn8RCUkheHFa0K5du+jo6GB0dJT79++TkZHB5s2bYzcuer3e2M2JmqbFu2TxF5GQFOJ3qamp7N+/n8HBQf7973/z4MED/H4/fX19hMNhpqen8Xq9EpLLjMxJCvE7RVFYt24d1dXVVFRU4PF4uH79OkNDQ0SjUaanp/H7/XIh2DIjISnES/R6PRs2bKCuro7i4mI8Hg/T09MEAgGmpqZkGdAyJMNtIV7jdDr58ssvGR8fZ2BggNbWVrxeLwMDA4yOjhIOh+NdovgLSScpxGs0TSMnJ4fq6mrq6upwOp0EAgFaWlro6+uTgy6WGQlJIeawdu1aamtrKS0tBcDn88mc5DIkw20h5mA0Gtm4aROHD39DUlIS0WiU4uJijEZjvEsTfyElKr8WhZhTOByhf3CQkeFhVCVKutOJMz0dVZUlQMuFhKQQbxUlEgoRjUJE1aNooCMK0TDhcJRwVIemV5CoXPpkuC3EW0WIhvx4J0aYGBlmeNKHK2REM9tISDBj1utQoyGUSIhgRAW9HVtiIslJNiw6mexfSiQkhXirKER8uAdbePLzGRqvP+WuKx3HyhI2l2aTn6QRHutjvK+HrjGNwIoSPtm+jV3b1rIyQcEU7/LFByMhKcQcopEZ/BN99LZc587lB1wazyV5XMViC0K6SqD7Ed2PHvHwuZXgygRMazezTZMh+FIjISnEXBQNzWjFanNgT7BiCyXgSEgkKTmZ5CSVoD+DmdwpxgjjNgaI+FxMuoL4LXr0Mt5eMiQkhXgrFdWQQHLWGtasymNV3gD3dHk4CzewaWs55al6ot71eMs3sepmM3fvPaTzqolz9mTMuwrZminLhJYKCUkh3kpF1dtJSM+nINdJjjMRi8dJQuZK1mwoYeMK/e+vc1NoGCHScpnbt9w809ZQWJBKaaYRQ1zrFx+KDAqEmI+qYdDrMOhUVFVD1XTo9fqXXmAnNdVJdooe48wYY/0DDE16ccetYPGhSUgKMZ9wiFDoxdrIKAqKoqK+8rfGh2dyjBF3mIBmxZpgx2rSI+eWLx0y3BbinUQgHCA47cXj9hIw6iHiJTJ8h7u3btPcGsCVsIrVmz5hTWYyCfEuV3wwEpJCzEdRXjzljs6geLsZeHKDqz95cSdFmR7tYOS3q1xuauXRRD6pX3xB9RcbKM0zyTKgJURCUoh5KaAoKIQhMIVnbJC+LgvWyRDe3lZ6nvTRM6EQsaWS7DDjwEswaCRgMKB/8W6xyElICjGvKEQjRBQDUUsWaYUllO0ooyxZJeQuw/VZN2W3rnH31jOeNJ3kZDBI4Jvd7P00jxwF6SiXAAlJIeaj6dFrCopmQrFmk766nC27trLp5Qfcq42cHrnJw3/d5+yACePadRRvySNDJyG5FMjTbSHmE5zBPz2DfyZAMDDNzLQXn+fV6xvCiglbgoOERAtmg4YCRKMgx2stDdJJCvFWIUK+ccae3efXhy08bGmnr08hcCuDH09OMpZhQx/2EvRMMdJ2i9YOE5G1u9hRspvP1meQKUPtJUNCUoi3ChMJeHCPDzPsMxKxZZCXbsYSHWGw7Td+nbJjDEwwM95PT88EI+p6cvfsZkfV5+z+JJVcOS5tyZBDd4V4qzDhaRdTQ70M9vTQP+xiImhANdtxOCxYzQa0sJ+Q382UN0rQkMqKvEJWFjjJMEtALiUSkkIIMQ/5hSeEEPOQkBRCiHlISAohxDwkJIUQYh4SkkIIMQ8JSSGKhcWmAAAAfklEQVSEmIeEpBBCzENCUggh5iEhKYQQ85CQFEKIeUhICiHEPCQkhRBiHhKSQggxDwlJIYSYh4SkEELMQ0JSCCHmISEphBDzkJAUQoh5SEgKIcQ8JCSFEGIeEpJCCDEPCUkhhJiHhKQQQsxDQlIIIeYhISmEEPOQkBRCiHn8P0fhizB7RSjaAAAAAElFTkSuQmCC)
Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.
In the following figure, the value of x =
![](data:image/png;base64,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)
Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.
Using information given in the following figure, the value of x and y is
![](data:image/png;base64,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)
Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angles are 65°and 110°.
Using information given in the following figure, the value of x and y is
![](data:image/png;base64,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)
Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angles are 65°and 110°.
In figure, the sides QP and RQ of
are produced to points S and T respectively. If
and
then ![stack P R Q with _ below equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle PRQ is 65 degrees.
In figure, the sides QP and RQ of
are produced to points S and T respectively. If
and
then ![stack P R Q with _ below equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle PRQ is 65 degrees.