Question
From the figure ![left floor P B R equals](data:image/png;base64,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)
![](data:image/png;base64,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)
- 115°
- 105°
- 125°
- 130°
The correct answer is: 115°
Related Questions to study
In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if
= 35° then ![left floor E B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of 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 EBC is 35 degree.
In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if
= 35° then ![left floor E B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of 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 EBC is 35 degree.
About 2 to 5% of gypsum
is added to Portland cement. It is just to
About 2 to 5% of gypsum
is added to Portland cement. It is just to
If
=
If
=
Osmosis is the phenomenon expressed by :
Osmosis is the phenomenon expressed by :
If
then the numerical value of
is equal to
If
then the numerical value of
is equal to
=
=
=
=
In the figure
QS and RS are the bisectors of
and
respectively then
![](data:image/png;base64,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)
In the figure
QS and RS are the bisectors of
and
respectively then
![](data:image/png;base64,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)
If AB=AC and
then ![stack B with _ below A C equals](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOwAAAC0CAYAAACXDsCOAAAgAElEQVR4nO3d+VdU157//+c5p+aiKCioYp5HAcXgBKImGofEjLeTtfK53bdvf++/0H9B/w398/3lrtXrdq9ubxKjxAECKg4oCqIgs8zzUEDN4/n+YOTqjYmKaFG6H2u5YvRQvhletffZe5+9JVVVVQRBiAtyrAsQBOHFicAKQhwRgRWEOCICKwhxRARWEOKICKwgxBERWEGIIyKwghBHRGAFIY6IwApCHBGBFYQ4IgIrCHFEBFYQ4ogIrCDEERFYQYgjIrCCEEc0sS7gnRWJgGuWtSCs6lMxGfXYdCDFui5hSxOBjYkokZVJFu7eYThoZLWklvzMR4EVhN8iAhsT86yMddB64Tr9ujzsWbvI0orWVXg+cQ/7xgUIuEZ52H2Xm7dH6ZvwEFbAoI11XUI8EIF9oyIQXWRhYpKhkWWWfRIagwmzXsYQ69KEuCC6xG+Q6nHhXxll1etmLTEJOSlCoimBJI2CPtbFCXFBBPaNUEENsTY5xszoKE6LHzKTkaxRFMmAGUm0sMILEYF9E1QvrAwwMdLDre5ZSPWw5guxqmow6MyYFAVTrGsU4oK4h30Twqt4ZiZYcIfxmVLRRFSMK8sEJJmgyYJZqyBmdIQXIVrY186JZ8XJ0KIFUnKpK9eTFI4yeHuVq2Yjkt6EQRbvm8KLEYF9XaI+AsvTzD68x+C4j1FNOQXbK6jK9aIbDzLonGVxUUMg3YPTEyYEiJkd4XnEW/vronrwzQ0zePUOdztGWVC0SHYdhN34Z5aZn1sjFPIQivpZCUQIxbpeIS6IFvZ1kXRoE9OwF+9kW44JbYmDvASQgkZI2UXxfjv/b1syhqwCcpJ0KLGuV4gLkji97nVRUaNRopEoUSQkRUGWJWRU1GiEaFQlqkpIsvzozyWxMFF4PhFYQYgj4h5WEOKICKwgxBERWEGII2KUOEaCwSBerxdFUbBYLLEuR4gTIrAx4PV6aW9v5/Lly2RkZPD111+TnJwc67KEOCAC+4apqsr9+/f5r//6L06fPk1lZSUFBQXU1taSkJAQ6/KELU7cw75hS0tLtLS00NzcjNPpZG5ujubmZnp7e2NdmhAHRAv7Bi0sLHD16lXu3LmDzWZj7969BINBbt26RUFBAXv27Il1icIWJ1rYN0RVVTo6OmhoaCAUCvHNN9/w7//+7xw/fhytVsvq6irRaDTWZQpbnGhh34BIJMLExATXrl2ju7ubffv28eWXX1JcXIxOp2NlZYWioiLEojPheUQL+wbMz8/T1NREd3c3WVlZHDx4kOLiYgByc3P55JNPSE9PZ2BgAI/HE+Nqha1MBPYN6Onp4ccff8TtdnPixAn279+//ndWq5X8/HwmJyc5f/48Dx8+jGGlwlYnAvsaqapKT08PLS0tzM7OUl5ezpEjR8jMzFy/RpZldDodQ0NDNDU10dHRgdvtjmHVwlYmAvsaLSws0NDQQEdHBxUVFRw7dozs7OxnXqvVanG73dy5c4euri58Pt8brlaIByKwr8nKygodHR1cv36dQCDAoUOH2LdvHwbDLzc0lWWZ3bt3U11dTU9PD2fPnmVmZiYGVQtbnRglfk26u7tpbGzE7/ezZ88e9u7di8PheOa1Go2G2tpavF4vw8PDtLe3U11dTWpqKomJiW+4cmErEy3sa7C0tERrayttbW3k5uby+eefk5+f/5sfYzAY2LFjBwcOHECj0XDx4kWuXbsmpnqEp4jAbrLV1VUuXbrE7du3MZvNHDx48Fe7wv/I4XBw8uRJdu3axcDAAI2NjQwPDxMKiS3ahEdEYDfZvXv3OHv2LF6vl+PHj7Nv3z40mhe789DpdJSXl1NbW0taWhpDQ0NcvnyZ6enp11y1EC9EYDdJOBzmwYMHXL58mcnJSSoqKvjss88oKip6qdfR6/XU1NRw/PhxVFWloaGBzs5OIpHIa6pciCcisJtkcXGR8+fP09jYSDgcpqCggKysLBTl5TcwzcrK4uTJk1RVVTE7O0tbWxsDAwNirbEgArsZIpEIw8PDXLlyhatXrzI0NMTU1NQrdWVzcnI4duzY+lTPmTNnxFSPgPIf//Ef/xHrIuJdT08PFy9epK+vD0VRsNlsaLVaVlZWmJmZYXFxkZWVFQKBAOFwmFAoRDAYXP8VCoWe+edarZZAIEBnZyfj4+Okp6eTnZ2NXi9Ok31XiXnYV+RyuWhsbOTSpUsUFhby9ddfE41GefjwIZcvX+a7774jISGBgoICKioqyM3NJTExEY1GgyRJSJKEoijr/x+JRAiHw0SjUVRVRVVVzGYzU1NTtLS0kJqaSn19/Ya62kL8E4F9Baurq9y6dYu2tjaCwSB1dXV8+eWX662i0WhkcHAQr9eL0+mku7ubkZER9Ho98s8n1j0OrfTzzv+PQ6qqKnq9Hq/Xi16vJxQKceXKFVJTUykuLn5qPbLw7hCBfQUPHjygoaEBt9vNgQMHqKmpwWazAY+ewtm9ezcul4v5+XlGRkZ4+PAhs7OzLC8vPxXMaDRKOBxGVVVkWUZRFLRaLTqdDp1OR2ZmJsFgkJGREbq7u7l16xYHDx4kJSUlxl8B4U0Tgd2gx6O3t2/fpri4mJMnT64/4wpgMpkwmUw4HA6KioooKCiguLiYhYUF/H7/LwIbiUSeCqxGo1kPrsFgYHl5mc7OTu7du8fp06cxmUwcP348hl8BIRZEYDfA6XTS2trK7du3sVgs1NfXU1NT85urmdLT00lPTwd4qeWGj7vK4XCYyspK/vznP3Pt2jUuXbpEeXn5hqeOhPgkpnU2YGhoiLNnzzI9Pc0HH3zA4cOHX2jp4WNP3rc+79djGo2GsrIyamtrycnJ4cGDB1y4cIG5ubnX8SkKW5QI7EsaHR2lpaWF4eFh8vLyOHbs2FNd4ddJURT27t3LRx99RDAY5Pz583R1deH3+9/Ivy/EngjsS3C73TQ2NnL9+nVyc3M5evQohYWFb7SG7Oxs3n//fUpLS1lYWODGjRv09/cTDoffaB1CbIh72Bfk8Xi4f/8+V65cYWlpiSNHjnDo0CGsVusbrUOj0VBYWMiJEydYXV2lra0Nk8lERkbGrz5vK7w9RAv7ggYGBrhw4QILCwts376duro6cnNzn7rPfFMUReHAgQMcPXqUSCTCjRs36OzsxOv1vvFahDdLBPYFeDwebty4QUtLCzabjc8//5xt27bFtCaLxcKePXuoq6sjFApx/vx52tvbxQMCbzkR2Ofwer1cv36dGzduoKoqtbW1HDhwYEscXJWZmcn+/fuxWq20tbVx//79mLT4wpsjAvscAwMDnD59mtnZWQ4dOrRlwgqPnp1NT0/HarXi9XpZXFwUG5G/5URgf8Pk5CTXrl2jq6sLu93Oxx9/THl5eazLWqcoCpmZmVRVVeFwOBgfH+fmzZusra3FujThNXnnAquqKqFQCJ/Ph8/n+9V7PpfLtb6Rms1m48CBA1RUVGAymd5wxb9OlmUcDge1tbXs27dvfR/kvr6+WJcmvCbvXGDD4TAzMzPcuHGDpqYmhoeHn3ndyMgITU1NPHz4kL1793Ls2LEteUq6LMuUlZVx4sQJrFYr7e3t3Lp1i/n5+ViXJrwG71xgo9Eofr+f3t5eGhoa+OGHHxgcHCQYDK5fMzw8zE8//cTIyAh5eXkcPnyYkpKSGFb92ywWCzU1Nezfvx+z2UxraystLS1PHfkxNTVFT08PExMT+Hw+sX1qnHrndpyQZRmtVsv4+Djt7e3cv38fr9eL3W5fX3hw+vRpzpw5Q1JSEl988QW1tbUYjcYYV/7bdDrd+uDTnTt3WFpaYtu2baSlpeHxePjuu+/46aefiEQipKamYrFYxIhyHHrnVjrJsozVamXHjh3Mz8/T3NzMtWvXiEajTE5OotFouH37Nm63m8OHD3P48OH1Z1y3utLSUj7++GOCwSBjY2P8+OOPdHV1EQgE6OvrQ5IkTCbT+u4WQvyR1He0bxQMBlleXubixYs0NTUxOzuLTqcjISGBaDRKdnY2X3/99VNHQ8aDUCjE2toaZ8+e5S9/+Qu9vb2kp6fzxRdf8Omnn1JSUoLJZEKr1ca6VGED3rkW9jGdTkd6ejpHjx7FaDTS0NCwft936NAhDh8+TE1NTazLfGlarZaUlBTKyspwuVzMzs7icrlwOBzs3r071uUJr+idG3T6R5mZmXzwwQeUlJSg0WiIRCIEAgG8Xm/czmcGg0GWlpawWCzIskxGRgahUAin0xnr0oRX9M4HFh4tP5yYmEBRFLZv304gEOBvf/sb58+fj7vpkUAgQFdXFx0dHQBs376doqIihoaGaG5uZnl5OcYVCq/ine0SPzYzM0NTUxNjY2NUVFTw4YcfsrS0xPXr1zl9+vT64FNpaemW34olEokwNjbGxYsXuXfvHtu2bSM/P59oNEpHRwfnzp3D4XCwa9cujEajGHiKQ+90YMPhMK2trTQ1NWE2mzl+/DjHjh1DlmXS09P5/vvvOXXqFG63m88++4yysrL17Um3Iq/XS09PD62trQD88z//M/X19UxNTdHf38/AwAB37twhKyuL/Px8Edg4tHV/+l6zQCBAf38/ly9fZnR0lO3bt3P06FEKCgrIy8vj5MmTfPrppyQmJtLY2Mhf/vIXbty4saWfOfV6vUxNTTE5OYksyxQXF+NwOMjPzycxMRG3283Y2BhOp3NLv/EIv+6dbWHHx8e5cOECo6OjlJSUcODAgae2e8nNzeVf/uVfSE1N5dSpU1y9enV9QGr37t3r85lbRSQSYWhoiNHRUex2OxUVFZjNZuDRQwKlpaWMjIywuLjI8PAw5eXl638vxI93bqUTPOoKNzU18be//Q2dTsdXX33F/v37f7Gw32g0YrfbSU5OZmFhgd7eXubm5jAajaSkpGypBwHm5uY4deoUN27coKKign/6p3+ipKQEnU6HLMskJSWxurrK3bt38fl8lJWVYbfbY1228JK2ThPxhoRCITo7O7l69Spra2vU1dVx+PDhX91FPy0tjc8//xydTkdDQwN+v5/5+XkCgcAbrvzXLSws0NraSkdHB4qiUF9fT11dHTqdDng0N1teXs7Bgwe5f/8+PT09NDQ0YDQayc/Pj3H1wst45wI7NjbG6dOnGRoaYt++fRw+fPi5m5c9DkFGRgbz8/NYrdaX2of4dXv48CHt7e2YTCYOHjzI7t2718P6pMrKSj777DO+++47mpubycjIIDc3V9zPxpF3KrALCwvcunWLmzdvYjKZOHbsGDt37nyhj01KSqKmpgafz4ff799S3WGz2UxFRQU1NTW899575OXlPfO61NRUjhw5AsD169dpa2sDoKamJi6mrYR3aC1xMBikqamJH374gfHxcQ4ePMi//du/begUuMdfsq0yLRIMBgkEAiiKgsFg+M0WU1VVfD4f7e3t/Od//idzc3P86U9/4ve///2WehMSnu2d6QtNTU3R1NTE/fv3qaqq4pNPPlk/6+Zl/eMxGrGm0+mwWCyYTKbndm8fP7FTVFSEqqoMDQ0xOTmJz+d7Q9UKr+Kd6BLPzMzQ0tLCgwcPSE1N5YMPPmDHjh2xLium9Ho9tbW1yLKMy+Wira2N6upq7Ha7OOF9C3snWti2tjYaGhrQ6XScPHmS6urqWJcUc1arla+//pp//dd/JRqN8v3333PmzBkePnwY69KE3/BWt7DBYJChoSGuXLnC5OQkH374IcePH99wV/htotPpKCwsxG6343K5OHXqFD/88ANarZb8/Pwtv8PGu+qtbmGnpqb48ccfGR4epqKigvr6enJzc8Vo6BMsFgvHjh1j7969OJ1O2tra6O7ufmqPK2HreGtbWK/XS1dXFz/99BOSJHHixAl27dolwvoMaWlpHD58mOnpafr7+/n222/Xp4qEreWtDGw4HKarq4srV67g9Xqpr6/nwIEDoiv8GyorK/nyyy/585//zPXr1yksLCQnJweLxfLqL66GCQd8+P1B/BENis5IgkmLVnk80q6ihgME/D58AZWIYsBg0GM2KDw1Fh/yEHCvsOoJ4ApqkLRGkpMSSDIrqOEQHm+IkKpFZ9BjMmreyu7jW7mWeGZmhr/+9a/cvHmT6upqvvjiCyorK7fUVMxWo9frsVqtzM3NMTo6itvtJiEhgczMzGeumnop0TXck/fov9vBtR4nE24DtmQziYbHvZ0I4bUx5vpu0d45ROcEhLVmMlINPNkfCs/cY6z9R35qvsSZq0PcHXKj16pkWjysLUxx794oQyPLuCMShmQzRkXmbfuOv3Ut7NLSEteuXeP27dvo9XqOHDnCnj17xPK7F5CSksLhw4dxuVxcv36dhoYGcnNzqaioeLU3OzUM7jGcI3doG85FV+SgtMhBVtITG8EFV4jO32fwvptOVU80IY1dZVYeXREC3KwszTMxusDC7BKuoA5Z48U5PsyCFGQ6kkD/rB9pcQ6Xa4E1UxLlmYnkvWVrQd66wLa3t3PhwgU0Gg319fXs2LFjS6373eqqqqpwuVz09PTQ29tLW1sbSUlJZGVlbfxFJSMmo4LNFCIQ8LO2GiIQevKIFAWNVk9qQhS9HMDpDLDqjfD3JXgrRJx9DE8vM+gvwlZaxcnCPPRmG2nzd1js6eOBbT9rCWmULN/FM+eic2QPijmRXBNvVSv71jQ7j7dHaW1tpaenh9LSUk6ePPlqP2jvIIPBQHV1NUePHsVsNnP+/HmuXr1KOBze+IvKejQmI4kWHXqNjBpV/+HkAQlJZyTBYsRs0iAB0Yj696CtzeC8e5G2i2f54WofbVM6VHs5le+VUZajoHpnmZh1M+fSoYtEMEoB/NEo/o1XvGW9NS3s3Nwczc3NPHjwgIyMDOrr69m+fbvoCm+AzWbj448/xul08sMPP9DS0kJlZSXl5eUbe2hfkkGjQ9bq0GkUdNIzWgpFA1odWq0WvSKjkZ5oGf1hfEtufMtTOOdWWVZlknIc6E3b2WVxYM3LJnUxQsjjI2TKwZpmozzLSObWOBV0U701ge3u7ubs2bN4vV5+97vfUVdXJ8L6CvLy8qitraW3t5fR0VHOnTuHXq/f+BlDkoQkyciShPysPqokgST/fM2jsKoqj35jzsJa+TlHTJXYewYZ6hlk6vq3fOsJ4t2Xw6Gqo3ywHGZwVsZs2oktK528rASS37LuMLwlXeJ79+5x7tw5RkZGKC0t5fjx4xt6Ckf4O0mSqKys5PPPP8disdDc3MzNmzc3fmC0+qgbrALPfDxMVZ+6hievM6eRuO0we0/+f/zpj1/yhxN5FGknGWvroG8wgjF7N1VVxdRVOcip2EZafiFFSTpsb+GUe9wHdnJykr/+9a+0tLSQk5PDwYMHyc7OjnVZbwW73c7BgwfZvn07brebW7duce/evRhuRKdBTqui7PgnHHi/hu0aF8kL4yiqBhLSceTkkpOeROpbvFVVXHaJA4EA4+Pj9PX1cfPmTf7nf/4HvV7PsWPHOHLkyKvPGwoA69u9fvjhhywuLtLb28uZM2dITU19ya6xDLKColFQNBoURUHzj/1iSQbl8d9r0CgyyjP7sxY0KTsprXZT0vkAm+RDioQBI7Jey9u+AjouAzs+Ps6PP/7IzZs3GR4eJhgMUlZWhsPhEIc8vQa7du1ibW2NkZER2traqKqqIiMjg4SEFx3VCaOG/Pg9XrxuN16DH28wQpQnuniREBG/D5/bjdfrweMPEYiATlGJhoOE/AFCUQk0Eoqyijusx5iXjyUjA0mJ+47iC4u7wAYCAW7fvs25c+fQ6XQcO3ZsfT/epqYmAD7++OPNWVInAI+mempqaqivr6e5uZnGxkaSk5P56KOPXmxBRdRDcHme6ZFRJh4usxIsZnypmKqIBasCoKL6llmcmmRieJSJ+RTG5rYx580lwRLBNdFFX1sHQ2sqAVsmicYIGnQYSypIzctCo4+7H+MNi6vPNBgM0tHRQWtrK263m08//ZQ//OEPuFwu/u///o+WlhZWVlZQFIX333+f1NTUWJf81khJSeHEiRN4PB4uX75MY2Mj+fn52Gw2otEosiyjKAo6ne6XezbLGmRtChprPoV5OtwZBvRaichT/4KWkC4DW1qEbWYr6ckaIhGAKBHfCq6ZESbnoqy5ZBzJVnKy0sguLiAzy8oW2h76tYurtcRjY2P893//N93d3ezcuZNPPvmEyspKbDYbiYmJhEIhent76e/vR6/XU1hYKO5nN8njvY3D4TD9/f0sLS0RDoeZmJhgaGiI8fFxpqamWF5eJhQKYTAYnvja61CMyZjTSymuqmZ3dRFl2ckkmTRoJAAJSTGgJOWSXrSdnTsrea8sg8xkAwZFRtZoMFuTsaTlk5ZTRFFRISVFOeSkJZFslHiXboLi5r1pYWGBGzdu0N7ejtls5sSJE1RVVQGPtiHduXMner2eUChEa2sr33//PdFolKNHj5KRkRHj6t8ORqORnTt3cuLECRobGzl79iwOh4OMjAxkWSYajaLRaNDr9VgsFpKTk7Hb7WRlZVNSXkFqQTq/2ufRJ2NOT6b4Fw9USeiT88jalYndF8YfVtCZ9RjendvWp8RFCxsIBLh8+TIXL17E5/Nx4MABjh8//lSXV5ZlbDYbDocDVVW5d+8eAwMDGI1GMjIyxGltm8RsNpOWlsbU1BS3b9/G4/Fgt9sxGo1Eo9H10eTbt2/T2dnJ4OAgi4sLqECyzYZ5QzszSoCCotWi1z9uld9NcRHY0dFR/vd//5fOzk727dvH7373OwoKCn6xkkmW5fWjNQKBAKOjo/T29rK4uIjJZMJms22p83DikSRJWK1WwuEwMzMzzMzMkJCQQF1dHXv27CErK4vMzEyysrKw2+0oisLCwgJddzsZGhxEq9WSlZUlVqFt0Jb/6Z2cnOTSpUv09fXhcDg4dOjQb+54KMsyFRUVGAwGEhMTOXv2LOfOncPv9yNJEtXV1SK0m6C6upovv/yS1dVVnE4nZrOZvXv3YjKZUFWVYDC43tq2t7dz+fJlmpub8Xg8BINB3nvvPWw2W6w/jbiz5VvYxsZGTp06hSzLfPrpp3zwwQfPnf+TJInk5GTS0tJISUlhenqa3t5eZFkmLy+PxMRE0T1+RSaTicTERGZnZ5mamgL4+X41C0mS0Gg0JCYmkpqaSnZ2Nunp6YRCIbq6uujv70er1ZKZmSk2L39JWzawwWCQ3t5evvvuO/r7+6mrq+Obb7554cflHoe2rKwMj8dDX18fa2trpKSkkJaWJnYFfEWSJJGQkIBGo2FxcZHOzk5cLhfFxcUkJSWtX2cwGLDb7ZSXl6+fAjgyMsLc3Byzs7N4PB6MRqOYN39BWzawo6OjnD59mrt371JYWMiJEyeoqal56ZZRo9Gg0WgIBoNMTk7i9XopKCh47gFYwvPJskxqairhcJjOzk7m5uZIT08nPT39F2+IiqJgt9vJzc1Fp9MxMDDApUuXGBwcxGKxUFBQIKbgXsCWDKzL5eLatWt8++23yLLMV199RW1t7YbfhRMSEtDr9dy6dYvR0VEqKio2/piY8JTHx4Ssrq4yOjrKzMwMycnJFBcX/+JarVZLRkbG+ukCTqeT2dlZfD4fCQkJOBwOcerAc2zS6IsK0TDhYJBAMEw4EkWVJZA0SLIWg0GH/gXH4gOBAF1dXdy8eROA/fv38+GHH77SAIXZbKayspKUlBQmJiZYXFzc8GsJv5Sdnc0333yD3+/n0qVLXLlyhYqKCnJzc595fUlJCSUlJezatYvz58/T3t7O+fPnsdvt1NTUvOHqX5IaJhIKEgyGCIZV1J+f30UFZC06owG9Rnptz+FuUmDDqJ5x5keG6O5dYsatYkwxo9GaUZRksorzKSxKJelZOw38g9nZWS5cuEBPTw979+7lq6++2pTRxOTkZPLy8hgbG8PlcuFyucR90yYqLCzkyJEjTE5OMjQ0RFNTE5999tlvnvJeU1ODwWBgdHSUvr6+9dufJ++BtxYVAiusjHQzPDjK4JqBkDEZR4KEJhQhJCeSWlpGflEqDun1PDy/afMbUmgO70wnt27MMehNpWpXDpnGWdzzHiaWV5iO1LInx0yG6dc/jdXVVW7dusW5c+eYmJggPz+fBw8eMDw8/OjB5g2ejClJEl6vl76+Pubm5rh8+TKhUIi8vDwxxbMJJElClmUePnzI6uoqXV1dTE9PMz8/v74a7R+vh0f3tU6nk+npae7fvw+A0+mkqKgo5t8XVVXXl7cWFBT8vAG9BGoY33gXIzdvcNVTgpS3i9pcmaToIu7VMSadXmadO9hZnky2RcdmP0O/SV8VDeBHE3HjDBvxW6so2l7OXrmN3qlWfugM0hspJM2UR4bp1z+Fqakpuru7WVxcZGFhgbNnz3Lz5k2i0eiGw/rY41U4LpeL8fFxOjo6Xuh4RuHFyLKM3+9naWmJ5eVlJicnmZqawmq1/upAoSzLqKrK1NQUS0tLrK2tMTAwQEJCQsy+L48bBlVVsdls/PGPfyQrK+vvg2gaPVHPGqE1J2GLg5TSfWyrgGzdACu9dznTeJ3+nmXCXx9EX5NJGpvb0m5SYCXUtTVCq6tELKUkl9exrdpB9nQbY6tjLEyn4MuP4HnOxnsGg4GysjJ+//vfs7CwgN/vJxQKvXJY4dG7ul6vR6PREA6HCQaDRKPR53+g8MIURUGr1aLRaIhEIgSDQcLh8G+O7MuyTHV1NYqiEAwGY/59ebInZ7VasdlsT7x5RFFlH6srIVZXTFiKsinckUFhDqSgJTW4iOPMHfoeztBRWYytIJMkK5u67nmTAhvBO73A7MgcqqYMY5KKe3GSieEFRrwOkjILKC5KJiXxtzsIOTk52O12Tpw4QTgcJhqNbkrrCn/vtj1epL5Zryv8nSTLKIoGWZKAKNGoSlR9tF3po3EZFfXnP1v/GElCURQkSdpy3xdFUbBYLE9MN3lR/WNMLoYYd2VgtSZRnAaPdr1OQch+A7UAAAXGSURBVE4sID81QN/oDBNTy/TPQo1lSwbWy9K8i/GRFYLmccJjTVwZHENaXWEp/SO276hj745Ecp4zxqPVasWOEcLWFXUSXX7ItDvKlJLHXquNYh08moiSUJUEzPoIBnkNj8fPqgfCm/zeswmBDUNkhqmVACPLSRiS9SRpJvEP32V02Ya3ooCKrHwqM3WIRWjvgNAaXo8fd/DRtqUKEaLRKCG0KHoT1gQDhnh93Ma3hH/yIUthcKUVkZhkJ43HIVJRoy5cHglvwIzRpMOawK/sS7VxmxDYFXAPMb0WZFJbRWFpPccP69EWeWk4M8mVrgc8LMpi4b0KsmHTR82ELcQ3x+rYA3rHnEx4dGi0GkysEXC7mAklo0vbRm1VLtuy4nRbQ+cyKyPjeCKpaPMKSUxJ5e/LPFYIeWeYXdaxEsrB4bCSmwG6Tf6Bf/XedXgFdXaIlUAUV8Zu0ssPsrOohsr6YgqsITxDA4yNTDEfhlc47EHYyqJeovOdDLZfofHGGN0zEaJ6PXq9Dr3GhzYwwvzMJP2jfhZXY13sxgWcbqZH1lA1JrIr8knLfmIp5coA89236XeZWcvaR2lhBmVW0G2tFjZKdHGepQeDLK3oCaSkIBkkotEFpGknKyEFxWbDYk3AJIvW9e2kElkeZqLtDC13VumS66jY+x5H6uykyBJyMInQbBBfXxJjoRT0SjwuPVRRo2vMzMzRO+jDnapgd8gY9BHCoQiq6mW1v5+h+5Os2Aqxb6unqiCNXDb/+dVXeD0VgsvMDXRz50oHD8bTcJZOMDEc4vL0A5YG+ujz2MjZv5vq7XmkvcAqJyHeRCAywcLwbZqbB7njzMB6rJjyijzykjQ/v0HngylMlWIkxWPDYY3DhSoRD77ZDh503uZSxxzzxXNsn7nPqKzB71olEPCwNOlkSd5Ocd0uinaWUu4wvJa9pl4tsFE/3qCKU07HYkul2ObHGJhgcn6R6YVEzPlVVNXvo7YqndQ4HWcQfoMaIDrfwcj9O7Q8tBAsqOHTuiJ25Wme6E0lgKGErBwNqWETcXnypxoi7HUSRIs2swhbSjJJ/gX88zKzywt4vX7WtDkkVldRXZnLtozXE1Z4pcBKoEkitfwQexJKKI4YkK12zLooircEjxfkpDTsuQ4cb+EpYgIQ9OEe7GVseJRZYy2ZRVUU2xN4eiWwDmQt5gQJ89aYXn15sgmDvZrqj9JJeS+CaraQnJaAQZHA7yUcjhLS2TDZMshK1bzWXRxfMbAJWLO3Yc3etnkVCXFDDflYHplgbnYFJSMTe2E+Sc+cspGe+k/ckfXokoooSCqiINalxPjfF+JYNBrB6/ER8IfQG0wkWBLQipHF1yoORwCErUKSZIx6DXqtQiisEoqA5hn9QTUcJIqEtL5sUdgoEVhhw2StkZS8QrJynZidszhHehkry0GxadHJKqhRgqEI4XAUrV6H0Sh+3F6V+AoKG6dNwFx5gNKVMJXNg4x3hGky76WyJI1ccwQ5FMKnGtAkpGJPNWESresrE4EVNk4xoGTsJP89lfeXrtM15cO3tsj8og5zWMYgqUS1OjSKBlnRxu2Y01YiqVvlWSYhbqlBF+6FORadq6wGJUKyEYPZTKLFiNloQKczotdp0IsBqVcmAitsLv8qLq9KUGPEnPDuHlr1uojACptMhahK9PFugsKmEoEVhDgiOiyCEEdEYAUhjojACkIcEYEVhDgiAisIcUQEVhDiiAisIMQREVhBiCMisIIQR0RgBSGOiMAKQhwRgRWEOCICKwhxRARWEOKICKwgxBERWEGIIyKwghBHRGAFIY6IwApCHBGBFYQ4IgIrCHFEBFYQ4ogIrCDEERFYQYgjIrCCEEdEYAUhjojACkIcEYEVhDgiAisIcUQEVhDiiAisIMQREVhBiCMisIIQR0RgBSGOiMAKQhwRgRWEOCICKwhxRARWEOKICKwgxBERWEGIIyKwghBH/n/ViNL9DftvXgAAAABJRU5ErkJggg==)
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.
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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)
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.
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.
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,iVBORw0KGgoAAAANSUhEUgAAAOUAAAEWCAYAAACZuFAVAAAgAElEQVR4nOy9Z1fbZ7b3/1FvSEKAANF7NWAwLnFP4hY7LnHa5J45M2vd9ws4j8+z8xb+T++17rPWOZk1k2SS2HGKncQ9iTumGAymIwkkISShhgoq/wcMv4lTXcC03yfLD4KRtEH+6rqufe393ZJ0Op1GRERk1SBd6QBEREQeRxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQxSliMgqQ76cT55KpUgmk8zPzyOVSlEqlUil4ueAiMhvsayiHBsb4+bNm/T29pKdnc3LL79Ma2srMplsOV9WRGRNs6yi7Ovr47/+67+4du0aBQUFTE9PI5VKaWpqQqFQLOdLi4isWZZVlHa7ne7ublKpFHa7nY8//hipVIpKpaKxsXE5X1pEZM2yrKKcm5tjbm5O+P/x8XHOnTuHWq3mxIkT1NfXo9VqlzMEEZE1x7JmXaRSKRKJ5LGvDQ8P8/777/P+++/T0dFBOBxezhBERNYcy7pSSqVS5PLHXyKRSDA2Nsbnn39OLBbD7/ezfft2zGbzcoYiIrJmWDZRptNpgJ+tlIuMjo5y5swZfD4fc3Nz7Nmzh7y8PPHKRGTDs2yijMVixOPx3xSZy+Xi8uXLRCIRPB4Phw4dorKycrlCEhFZEyybKAOBwGNJnh8jk8nQ6XSkUincbjdff/01Pp+PSCTC0aNHKSsrQ61WL1doIiKrmmURZTKZxOv1EggEhG0sLIgxmUyiVCopKytDq9UyNDSEx+MRkj4ej4e3336bzZs3L0doIiKrnmURZTweZ2ZmhtnZWdLpNHK5HIVCQSKRIJlMolAoqK2tpbq6moKCAr777jvcbjf3798nGo0Kq2RNTY14ZbIGmZ6eZmBggOHhYUKhEFKplO3bt9Pe3v6rOQaRf7EsooxGo3g8Hnw+H6lUCq1WS3Z2trASAigUCqqrqykvL0en03Hp0iWmpqYYHBzk2rVrlJSUUFJSIopyDbCYP4jFYjidTjo7O7l48SLXr1/H6/WiVCr5j//4D9rb21c61DXBsolyZmYGr9dLKpXCZDJRUVFBMplkZGQEj8fDwMAAmzdvZv/+/VRWVmI0Gvnwww9xu90kEgk0Gs3PrlNEVh9TU1P09fUxMDCA1WplamoKm83G0NAQTqdT+D6/3y+ukk/Isolyenoat9tNOp3GZDJRX1+P0WhEo9Fw7do1ent7uX//PkeOHGHr1q2o1WqSySQTExPs2rWLTZs2odFoliM8kWckmUwyOzvL7OwsgUAAp9PJ8PAw9+/f5/79+4yMjPxiMYhcLkepVK5AxGuTZRHl3NwcTqeTmZkZAEwmEzU1NZSWlhKNRrl16xZzc3OMjo4yPT0NwObNm8nMzCQYDJKdnY3FYhFXylXE/Pw8o6OjdHR00NXVxeDgIE6nk0AgwOzsLB6Ph3g8/ouPValUYgPCU7BsonQ4HPj9fuRyOSaTifLycpqamrDZbMIbNDMzw9DQEFu2bCEzM5P6+vrlCEfkOUilUoyNjdHV1UVnZycdHR08ePCAycnJJ3q8Xq+noaGB4uLiZY50/bBs2Ve/3y8UDxiNRgoKCigoKCAvLw+TycT09DShUIje3l4GBgZob28XV8ZVSDKZ5MGDB/ztb3/j1q1buFwukskkUqkUtVotZNUjkQipVOpnj7dYLOzbt4+6uroViH5tsiwq+PGBPhqNYjQaKSwsRKFQkJeXR21trbD1uXPnDs3NzTQ0NGAwGJYjHJHnJBqN4nA4mJqaAkCtVrNlyxYaGxvJyclhdHSUa9eu4XA4fvbYnJwc6urqyM/Pf9Fhr1mWRZRZWVls27YNp9OJTqejsbERk8kEQEFBAdu3b2dkZIS+vj4ePXrE4OAg4XBYFOUqRCqVUl5ezv79+5FKpYTDYerr69m3bx/V1dVCe55KpXrsMYurpl6vJzc3l4yMjJX6EdYcyyLKoqIi3nvvPXbv3o1UKqWyslLIvuXn57NlyxZu3rxJX18fgUAAu92O1+vFYrEsRzgiz4FUKqWmpoY//elPHD58mGQyiclkoqCgAJfLxaeffsrFixdxu91oNBo0Gg3z8/MEg0EAMjIyyM/PF++bn4JlEWVGRgYNDQ00NDT87O90Oh3V1dUUFhYKX3O5XIyNjVFWVoZOp1uOkESeEYlEgslkEnY6i0xPT3PlyhXOnj1Lb28vALW1tZSXlzM5OcmDBw8A0Gq1mEwm0ZfpKViRPimz2YzFYsFoNALgdDq5f/8+ExMTKxGOyFMSjUb5/PPP+e///m/6+vqAhWuv9vZ2du3aRVFRkfC9Op1OvG9+SlZElBqNhvLycsEOxOFwcOvWLUZGRlYiHJGnwOPx8Nlnn/Hhhx/S2dlJIpHAbDZz8uRJDh48SFZWFvPz88DCjsloNIp3lE/JiohSKpVSX1/Pjh07yMrKwu/309vby/j4OMlkciVCEnkCIpEId+7c4YMPPuDmzZvAwvZ03759/PGPf6SxsRGn08nExAQSiQSLxUJeXp541fWUrJgoa2pqaGtrE2xAXC4XTqcTr9e7EiGJ/A7xeJx79+7xxRdfcPv2bUKhEAqFgr179/Lee++xfft2YMEczeFwoFarKSkpoaCgQBTlU7Ji3htGo5GKigpycnKAhTfdZrMxMjJCLBZbqbBEfoFEIsHIyAgXLlzg4sWLguiam5s5ceIE+/fvR6/XC10+oVBIEGV+fr64fX1KVtQQx2w2C0UFAENDQ9y/fx+3272SYYn8BJvNxpUrV7h69apw7q+treXYsWPs2bOHrKwsYMFtYrHeWaPRUFhYSG5urrhSPiUrKkqj0Uh9fT2VlZUoFApGRka4ffs2LpdrJcMS+RF+v5/vv/+eTz75hAcPHpBMJjGbzezZs4fjx49TVVUlfK9arcZkMiGVSjEYDJSWlpKfny+aoT0lK/oRptPpaGtrEwqcZ2ZmePjwoSjKVUIoFOLGjRt88cUXXL9+nUQiQXZ2Nvv37+fgwYO0tLQ8tjUtKyvjwIEDaLVaKioqqKurIzMzU+yjfEpWVJQajYZNmzbR0NDA119/TTAYxOPx4HQ6CYfDYiHBCtPV1cXf/vY3QZAALS0tvP322+zYseNnZ8XKykreffdddu/ejcFgoK6uThTkM7CiopTJZOTn51NaWkpmZiZut5u5uTmGhoaYmJigtrZWrARZARKJBH19fXz88cecP38ej8eDVCqltbWVN954g/379/+iefZi5Y9oevZ8rIrNfm5uLiUlJUgkEkKhEA8ePKC3t5dQKLTSoW1IxsbG+OCDDzhz5ozgqVReXs4777zDqVOnRDf7ZWZViDI/P5+WlhaKioqIRCL09PTQ2dkpzhlZAcbGxvjiiy/4/PPPsVqtwMK29PTp05w4ceKxEjqR5WFViDIvL49t27bR0NBAKpVicnKSoaEhZmdnVzq0DYXP5+PixYt88sknDA8PAwtteEePHuUPf/gD1dXVKxzhxmBViDIzM5PNmzdTXl4OIDinT01NEY1GVzi6jYHX6+WHH37g66+/5v79+8RiMfLz8zly5AjHjx+nqalJPN+/IFaFKBUKBYWFhVgsFqHvzuv10tfXh8vlesxlXWTpicfjdHd3c/bsWe7evUskEkGj0bBt2zbefvtt2traxKqcF8iqECUsFDYXFRVRXl6ORCLB4XDQ0dHB8PCwWKS+jCQSCYaGhrh8+TKXL1/GbrejVqtpbW3lwIEDbN++nezs7JUOc0OxakQpkUioqKigra2NnJwcZmdnuXPnDoODg79oyCSyNNhsNr744gsuXLjA2NgYqVSKyspKXn/9dV599VXRDWIFWHWi3Lp1K0VFRSSTSUZHR7Farb86vUvk+fB4PFy7do2zZ8/S3d0NQGFhIfv27ePgwYNiYmeFWDWihIUsbHNzs3APNj8/j9PpxG63C42zIkvD3Nwc3377LX/961/p6upifn4enU7Hq6++yrvvvktjY6N4jlwhVpUoVSrVzzoLrFYr3d3d+Hy+FY5u/TA3N8fNmzf58MMPuXTpkjDpbNeuXZw6dYrdu3eLFh4ryKoSJYDBYKCyspLCwkKkUimDg4PcuXPnFz1FRZ6NO3fu8P7773P9+nXhazt27OAvf/kLe/fuFbs6VphV99vXaDQ0NTXR1NSEVqsVRqstGgGLPDvxeJy+vj4+//xzvvrqK2FMXVNTE2+++SaHDx8WM62rgFUpyoaGBlpbWzEajSQSCcbHxx8bqybybIyNjfHxxx/z7bffCo3k1dXV/PGPf+To0aOiIFcJq06UcrmckpISamtrhUICv9+PzWbD4XCId5bPyNTUFN9//z3nz5/n4cOHAFRVVXH48GGOHj1KRUXFCkcossiqEyUsND8XFBRgNpuRSqUkEgkePnxIV1eXWKT+DPh8Pr777ju+/PJL+vv7SSaT5OXlcfDgQU6cOEFlZeVKhyjyI1alKOFfg2FycnKIx+N0dXVx//59AoHASoe2pojFYvT29nL+/Hl++OEHAoEARqOR9vZ2Dh48SGtrqzhSYJWxqkW5bds2qqurhRmJfX19YufIU5BOp3nw4AFnzpzh+vXrTE9PI5VKaWtr49SpU2zdulUcqrQKWbWizMrKYvPmzdTV1SGXy4nH49jtdtHp7imwWq189dVXfPLJJ8JIiKqqKg4cOMCRI0fEErpVyqoVpUqlorq6mtLSUqGyxOPxMDY2hs/nEztHfge73c6ZM2f47LPPsFqtpFIpSkpKOHXqFK+99hpFRUViK9YqZdWKEhZWS4vFgtlsRiKRMDs7S2dnJ48ePRKMnER+TigUEkroOjs7gYU5ka+++irvvPMOzc3NKxyhyG+xqkUJUFxcTFNTE5mZmfh8Pu7cuUN/f78oyl8hEAhw4cIFPvroI3p6ekin0+h0Oo4dO8Z7770nNiuvAVa9KCsqKti5cycFBQVEIhEGBgYYHh4WO0d+gVAoxN27d/nwww+5fv068/Pz6PV6du3axXvvvce+ffuE4b0iq5dVL8ri4mI2b94sGDYFAgEcDoc4COgnpNNpurq6OHfuHHfv3hU+tLZv384f/vAHduzYIQpyjbDqRalWq6msrCQvL0/42tTUFMPDw6IF5T9JJpOMjIzwzTffcP78eSYmJlCpVDQ3N3P06FEOHz5Mbm7uSocp8oSselHCgslvQUGBcKdmt9u5d+8edrt9hSNbHdjtdi5evMi1a9eEATxVVVUcP36c/fv3i1cfa4w1IUqtVkt1dTUNDQ1otVpsNhs3b95kfHx8pUNbcYLBILdu3eLTTz+lu7ubVCqF2Wxm165dvP7669TW1oqjA9YYa0KUCoWCpqYmtm/fTmZmJoFAgP7+fux2+4b27wmHw8IAnhs3buD3+zGZTOzdu5fDhw/T3NwsltCtQdaEKOVyObW1tbS0tJCZmQksFBJs9IRPb28vf//73/n222+FQv3GxkbeeOMN9uzZIwpyjbImRCmRSIR5h4s9f7FYjLGxMYaHhzfk5OcHDx7w8ccf88033wijA1tbWzl9+vSvDuARWRusCVEukpOTQ0lJCUqlkkQiQX9/P52dncIQmo3CxMQEH330ER999JFgk1JcXMzp06d56623KCgoWOEIRZ6HNSXKrKwsNm3aRGVlJVKplOHhYe7du7ehtrATExN8/vnnfPnll8IAnvLyct58801OnDhBcXGxmNhZ46wpUS72Aba2tiKXy5mZmWFwcBC3270hCtRDoRBXr17lgw8+oK+vD1gwGjt06BB//OMf2bRp0wpHKLIUrClRarVaNm3aRE1NjdA54vV6mZqaWveFBLOzs1y/fp2vv/6azs5O4vE42dnZvPbaa5w4cYJNmzaJLnTrhDX1LspkMvLy8igsLBSysMFgkIGBAWw227r171l0oTt79iw//PADc3Nz6HQ6tmzZwltvvcX27dtRq9UrHabIErGmRAkLmViLxUJlZSUymQyfz8f9+/fp6+sjEomsdHhLTjKZZGhoiEuXLnHt2jXsdjtyuZyWlhaOHDkiDuBZh6w5UQIUFRXR1tZGYWEhc3NzdHd309vbuy6vRpxOJ9988w1ffPEFw8PDpFIpysrKOHToEIcOHRIzreuQNSnKgoICtm/fTk1NDalUiqmpKUZHR9edf4/H4+HKlStC50cqlaKoqIhXXnmFgwcPUl9fL/ZGrkPWpCgzMzNpamqisLAQWGhbmpmZwWazrZstbDwe5+rVq7z//vvcv38fWLBI2bVrF++++y5NTU1iYmedsibfVYVCgcViwWKxCAkOp9NJT0+PUN2ylpmbm+PGjRvCAJ5AIIBGo2Hv3r2cPn2a3bt3o9frVzpMkWViTYoSFvosS0tLhUKCxXau9dA50t3dzfvvv8/ly5eFjPLmzZv5t3/7N1599VWxWXmds2ZFuVikvmXLFrKysvB6vXR0dDA2NrbSoT0zqVSKvr4+zp07x4ULF/B4PEgkElpaWnj77bfFATwbhDUtysrKSrZs2UJ+fj6pVIrx8XHsdvuaLCRIp9NYrVbOnj3L+fPnhZrWqqoq3nnnHU6cOCG6B2wQ1qwoYWHyc319vVBIMDc3x9TUFFardc1NfnY4HFy/fp1vv/2Wvr4+0uk0VVVVHD16lCNHjojzPjYQa1qUKpUKi8VCXl6eUHY3MjJCZ2fnmroeCYVC3Lp1i3PnztHb20sikSAzM5P9+/dz6tQpampqVjpEkRfImhYlLFyP1NbWCpOfHz58yL1795ienl7p0J6IaDTKgwcP+Prrr7l69Soej4fMzEx27NjBgQMHaG9vJyMjY6XDFHmBrHlR6vV6WltbaWxsRK1W43A46OnpWTOifPToEZ9++inXrl0TEjubNm3ijTfeYMeOHaIgNyBrXpQ6nY7Gxkaam5vR6XSkUilsNtuauK+02Wx8/fXXnD17lqGhIWAhsbNYsbPodSuysVjzopTL5cJ95WIhQSAQYHx8nKmpqVXbOeJ0Ojlz5gz/+Mc/hJpWi8XCyZMnOXnyJOXl5WIJ3QZFvtIBLAVarZb8/Hxyc3OZmpoSzmk9PT3s3r37d7aAcRKRMMHZAMHgHJFEkvlkmrRUjkyhRWvMxGjUo1dLl+yXFQgEuHTpEh988AH37t0DFrbhr7zyCqdPn6atrW2JXklkLbIuRAmQn59Pc3Mzk5OTzMzMcO/ePZqammhtbf0NUaYBN4GJu3z31Q1u3htiIjiHL5YiKc1AZSqmfMsetu7ezc5GC1VLUNkWi8W4ePEif//73+nq6gIWygYPHz7Mn//8Z1paWp7/RUTWNOtGlBaLhe3bt/Po0SOcTifj4+MMDg4SCAQeG3nwOClI+ZnzWRkfGmNw1E1AowKVAlnCT2zSTV94DldAznxyF/rtOZjl0mfe84dCIbq7uzlz5gxXr14lEomg1+vZunUr77zzDnv37hWblUXWjyjNZjObN2/mxo0b3Lhxg3g8jsPhwO12U11d/SuPSkNSgUJfRvEWHa82GsirLqIwX4vK9whP9wW+vDTC9UuXUWUYqdm0B71RyrO6qfb29vLxxx9z8+ZNwad1y5Yt/OlPf2LPnj2iIEWAdSRKhUJBRUUFBQUFyOVyEokE09PTDA8PU1dXR1ZW1i88SgrSPIwlBnZky0CmxqCToZTGiTiDaH0mjLI+omND2Edt2MIp6o08tShTqRRWq5UrV65w4cIFRkdHUSgU1NXVceTIEQ4cOEB+fv5S/BpE1gHrRpSwUEiw2NI1OTmJ2+3m3r171NbWsm3btl+wXpSCTIdSDfq4m5nJh3RPunB6QoRCLsK+GaxhCdLUPPJknLn5NNFniGtycpJvvvmGS5cuMTQ0RDqdprKykhMnTnDgwAHRPUDkMdaVKBdXy+bmZoLBIDMzM9y+fZtt27bR3t7+y1cMqRmCI3e5efkK1+4M88gnI64wkGVMopV7cQQTzKfSSCRpkuk0Tzu5JBgM0tHRwWeffUZHRwfJZJLc3Fx27NjBkSNHRPcAkZ+x5u8pf0pNTQ07d+4kLy+PSCTCo0ePGB8f/2VHglSEyMRtei//g08/vcyX96Zxpgzo84soLKuisrqYMosRo0qBPJ1GytN5y0ajUW7evMmZM2e4efMms7OzZGRksHv3bo4fP05TU5M470PkZ6yrlRKgpKSElpYW8vPzefToEX6/X0j4/PRqJB0PMtNzk85b3fTEash++Sh/OrWZ9sIMtKo4ysRdbs6FmX7oJTGfJJ1OP5UsBwYG+Pjjj/nqq6/w+XzAwgCe119/nZdffhmj0biEP7nIemHdiVKtVlNeXv5Y76HNZuPRo0fk5OQ8ZqORTkQIWEex2dzMaE+wY+cpjh/IRHjk3CNG5POQThFn4VbzSQcC9PX18eGHH/LNN98wMzMDQEtLC++88w4vv/wyJpNpKX5ckXXIutu+wkLCp6ioSJj8PDY2xt27d4XGYQGpDKUhE6MxgwxmmZscZGh8Fr/fj9/dzfjNbjp7bdhnw8ylIfUEkkyn00xOTnL27Fk++ugjJiYmgIV71OPHj3P6zbcoKytb8p9ZZP2w7lZKgIyMDOrr62lsbKS7uxur1crt27fZvXv3Y72JEoUec0MrDYPjFF+5y9AZB//fUBG5Ghk6+SzJiI2efi9TPj0liSSJNL+7fZ2cnOTcuXOcO3eO0dFRYMGn9o033uCN029RVlqyjD+5yHpgXYpSrVbT2tpKX18fw8PDuN1uBgcHcTgcpFIpwZpRosggs34XrbNhDniucLlnHNtDD5MKNaZMNZkFBWRtKmJHnpbSpmJKNDJ+63rf7/fz/fff849//IPOzk5gYVLYqwcO8r/ee4/W1gaYnyM0l2AeOSqtCpVChph7Ffkx61KUCoWC2tpaGhoa0Ov1uN1uZmdnmZqawufz/ch8SgYZVRRszeCNrCaaRiexzSaJKQwYzTmYzQa0UgWyhAxdTg5ZWQoyf+U1Q6EQN27c4Pz58/T09DA/P49er+fgwYOcfustmpqakBAh4higp9ePV5ZLaUsFpfl69Dz5WVVk/bMuRSmRSNDr9RQXF5OVlcXo6CjRaJTBwUGGh4fJyMhApVL987s1KDLLKdlSTklblGgwxrxch0or50mNHOPxOAMDA3z55ZdcvXoVr9dLRkYGW7Zs4eTJk+zetQtdRgbEegmM3eH2RSejinp2WXLJ+qcoRUQWWZeJnkVycnKoqKhApVIRjUbp7e2ls7MTv9//yw+QqFEbjOifQpDpdJrh4WG++eYbvvvuO2w2GwBNTU28/vrrbNu2jazMf159xGaIzIwy0tfPg/5JJkMJ4oirpMjjrHtRbt68mcrKSpLJJI8ePeL+/fu/LspnwO12c/nyZT755BMePXpEOp2mpKSEV155hWPHjlFS8qPETjJOMhYmHAgRDM8zL1GiWLJIRNYL63L7ukhWVhbt7e10dXUxMDCA1+tlbGyMmZkZqqqqnnsMucfj4fLly3z55ZfCvI+CggIOHTrEgQMHqKure/wBEhlSuRKlWoVSEmV+ZhS73U/IHyEWS4PKgDYzm+wsA5kayfr+xBT5Vda1KDMyMmhsbBSsNVKpFF6vF5vNRmNjo3CP+Swkk0lu3LjB//zP/3Dr1i1gwZpk27ZtvPvuu7/iHiBBIpMiU0DSb8fZ8TmXB/xYO8awOuMkc+op3PwKL7/6Eq9uyadAnE6wIVnXolyc/FxQUEBWVhYulwufz0dvby+NjY3U19c/0+SqaDTK3bt3+eijj7hy5QrRaBSlUsmuXbt488032blz56/UtEqRSpJIU7MEZ0KM9EeZy1MyF0shw4/Peg+XK0A0No9Cf5h9VUYsYovlhmNdixIWhFlYWEhNTQ1er5eZmRk6OjpoaWl5zGzraXj48CF//etfOX/+PNHoQjNXU1MTf/rTnzh27NivF5lLpJBKIJn3MRfNJKCsY8uOvex4R0upws7ozW/4+uwdHt6Qcb64DoO+mfxSMRG00dgQx5by8nK2bNmCxWIhHA7T1dXFo0ePSCQST/1cvb29nDt3jm+//RaPxwMsTMR65513OHTo0O/UtKZIpyUk0aHNLqO8dQdbd+1m/+7tNG9/ndcO7OFgnQzD3DC9D4YZsgWeulVMZO2zIURZXFzMtm3bKC8vFyY/W63Wp8rCLj7uq6++4rPPPsNqtSKRSCgpKeHkyZOcPn36931a00lSaTlJqZlMSw2b2qppLFX8855ShSqnjk1NZZTnpgk77fgcXtJP1y0msg7YEKI0mUw0NjY+1jnicrl+vc/yF3C5XFy7do1Lly7x8OFDkskkZWVlvP766xw+fPgpB/DIkclVqDWqx8v2VDqyszMxaGSkwkHi4fDvF9uKrDs2hCjlcjl5eXlYLBY0Gg2w0M7V2dn5ROMNIpEI9+7d48yZM3R2dhKPxzEYDOzatYvTp0+zadOmp7xeSZJKJZiPx4WWsAXSIFmoSBLPkRuXDSFKWDBsrqqqorKyErlcztjYGHfu3MFqtf7m46LRKD09PXz77bdcu3YNt9uNwWBgx44dHDx4kLa2tmcfdS6RIuFHiZxEjGAgRCSeRKbLQKHVilmeDciGEaVKpaKxsZHW1laMRiNer5euri7sdvtvPm50dJSzZ89y6dIlYVWtra3l5MmT7Nmz55maldNpkEgUKNT6HznjpSFoZXBgErtHgi6/EJPFxHPWN4isQTaMKBUKBdXV1bS1tQldIna7nampqV89V9rtdi5cuMBnn33Gw4cPAaiurubgwYMcOHDg2ZqVU3FS8wECnklsQ4MMulw4XU6ckz9w5+YtrvRF8cjLaWiqorrUuHHeIBGBdX9PuYhEIiEvL4/q6mphuxkOh5VRrE8AACAASURBVLHb7UxMTFBRUYFS+a8SGo/Hw+eff87f/vY3BgcHgYWyvSNHjvDWW29RUVHx9GV66TSSdJTU/BRT/R6+/S8Xrju55JBi3j/O9ISX8UglJbsPcmB7KZtzxbPliyaRSDA3N0ckEkGhUPyKX/DysmFECaBUKoWEj1KpJJVK8fDhQzo6OsjJySEnJwcAn8/HpUuX+PDDD+no6AAWLEYOHjzI6dOnaW1tfbYAFGa0BZto2RlnWuMhnprBP+JjJhYj4o+Q1JVTvOsYr7y2n721JgrFap4XzvT0NLdu3WJychK1Wk1VVRV1dXXk5+c/d630k7KhRAkLq11DQwO9vb1YrVZ6e3vp6Ohg27ZtgiivX7/OX//6V2EiFsC+ffv4y1/+Qnt7+7O/uKaCzKa3OJV7gJ2+EPPRAMGAH89slLm0Fq25lOLySsqKcygQBbki2O12/v73v9Pd3Y1MJqO+vp4DBw48w7XXs7PhRGkymWhvb6e3t5fJyUkcDgeDg4OEQiGi0Sj9/f2cO3eOK1euEA6HhWblt99+m71796LT6Z79xWV6lFl6SrOgdPFryTkioXniigw0WtkT93GKLA/RaBSbzSYM8R0aGsLlcjE5OcmePXtobGykuLh4WWOQ/ed//ud/LusrrDKUSiUymQy73U53dzexWIzMzEza2tqIRCL84x//4MKFCzidTmBhAM+f//xnDh069CMbkSVEqkChVqNWSEWvnlVAOBxmenoar9dLKBRifn4eu93OgwcPmJqaQiaTYTAYyMjIQC5fnjVtw4lSKpWi0+kYGxvjhx9+YG5uDqVSiV6vZ3h4mC+//JKBgQHS6TTNzc2cOnWKkydPPt6sLLJuUSqV5OfnU1xcjE6nw+VyEQ6HhRXU4/Fgs9kIBoNkZmYui6H2hhMlLFyP2Gw2uru78Xq9JBIJ/H4/AwMDDA8PI5VKqaur46233uLtt9/+jVF6IusNtVpNUVGR4LKvUqmIx+PAQmWXzWajv78fl8sFLBSlKBQKoVJsKdiQooSFwTtTU1M4nU68Xi8+n4/p6Wmi0SgFBQXs27dPHHW+gZHL5RQVFVFdXS2cIT0eDz6fj1gsJoxZnJiYYH5+nuzs7Odqmn/stZfkWdYgeXl5NDc309PTg91uZ25uDkBoevb7/dy/f5/p6WkSiQTz8/MrGa7IC0Ymk6FUKpHL5fj9fmKxGBKJBIVCwfz8POFwmIcPH2Kz2XA4HFitVpqbm9m0aRPl5eXPdX2yYUVpMBiwWCw/+3RLpVK4XC4uXbrEnTt3kMlkJBIJ0mIP1YZCIpEgk8mQSqUkEglCoRDhcPhnPbjBYJDvvvuOzs5OSkpK+Pd//3eKiooeK0R5WjasKBUKBSqV6hc/0WKxGLFYDK/XuwKRiaxmFr2efvwhHYlEiEQiuN1uwWNYFOUzIJPJMBqNmEwmYUuyiFQqRS6Xo1QqMRgM6HQ6YcVMpUQvgI3C4r+DdDpNNBolFAoJ1yQ/3Tmp1WpqamooKip67l3VhhWlSqWiqqqKtrY2Hj58yPDwsJBlS6fTSKVS4f5y69atmM1mIpEIyWRS3MpuEJRKJWq1Gr/fT29vL3fv3iUYDP7sg1kul/Pqq6/yxhtvsG/fvufOxG5YUcpkMgoKCti/fz82mw2v1ysUDKTTaeLxOPF4nPn5edRqNU1NTZSWlqJSqYjFYj/bwoisDxZXR7lcTiQSwW6309nZSTqdZn5+XvjghoUBxUVFRVRUVHDs2DFee+21Jbm33LCihIU3oKWlBZvNxt27dwVRyuVyJBIJfr+fW7duCVOYLRYLhYWFjz2HKMz1xWKOIZlMMj09zfXr1zl//jzDw8OCURpAVVUVr7/+OgcOHKC6uprc3NwlKyTY0KKEhcvfmpoa8vPzha+ZzWY0Gg02mw2fzyeYLUejUY4dO0ZzczMy2UJR3IvqHBB5MaTTaaampujp6eHatWtcvnyZe/fuCR++ZWVltLS0sHv3bvbs2UNbWxsKxdIOn9jwogQwGo2UlpZiMpkIBALodDoKCwsxGAyMjo4SCAS4desWdrsdt9vNm2++SXNzM5mZvzYYT2St4nQ6+eKLLzhz5gw3b94kEAgAC2771dXV7N27l6NHj7J9+3b0ev0zmXn/Hhu2oufHpFIpPB4PU1NTuN1uEokEeXl5vPzyy5SXl2O32wmHwwQCAZxOJx6Ph2QyiclkWpbaR5GVo6+vj//7f/8vFy9eFBwp8vPzef3113nvvfc4fPgwmzdvxmAwLNsuSVwpAZ1OJ7RzPXz4EK/Xi9/vp6mpicLCQuRyORcuXGBiYoKJiQk+/fRTXC4Xfr+f/fv3U1FRsaS1jyIrRyKRIJFIkJWVJTTF79mzh+PHj/PSSy+9kPdZXClZyMTq9XqsViu3b98mFAqh1Wppb29n586d1NXVoVAomJ6eZmZmhvn5eVwuF3a7ndnZWTIzM5e9x07kxbBYvZWdnU1bWxunTp3ijTfeoL6+/tfHUSwx4krJvyY/FxYWkp2djcPhwO/38+DBA3bt2sXmzZtRKBQYDAa+/vprOjo6mJ2d5d69e3g8HgKBALOzs2zfvn2Jei7j4B1mZKCf3gE7tpkIoZQCRUYW+vxyyiqraarIxWIUp1suNRaLhePHj9Pe3o5araa6unrJCs2fFFGUPyI3N5eamhqGh4cJhUJ0dnZy584dysrKaGhowGw2Yzab0ev13Lp1C6fTydjYGB988AEOh4NgMMjBgwcxmUzPcd5IkJjuZ+z211y8cpMrnTbG3BEiKSkyfS6akm1s2ZXCoNNiMT69vaXIb6PRaCgrK6O4uBiJRLJsjcy/hbh9/RGJRAKv14vdbsfpdBIKhTCbzWzbtg2j0UhGRgZ5eXnk5eWh0+mYnZ1lZmaGWCyGw+HA6XQyPz9PVlbWM66YEQg+ZODqF5z9x1WujEqIl2+lsb2NHU3FlOfpkKRUqBQm6styKSsUk0zLwY+L0VcCUZQ/YrHOcXx8nP7+fqLRKBaLhW3btpGXlydsc8vKysjNzUUmkxEMBvH7/YTDYcbGxnC5XMhkMrRaLRkZGahUqicPID5NbOg83352kY9upZirOMxr/+d/87/ePsrp/S1sqS8hPzOLvKxsKkpyMZuf0ZldZFUjbl9/REZGBvX19Y9V7Xi9XsbHx6moqBDOFiqViqamJuEcujg8FqCnp4dYLMbk5CRHjx5l586dTzzWIBmYwdnTyYA1gDt3H9t37ObQliJqM0CKBVOFge2GMOGYlAzDcxh4iaxqRFH+CKlUitlspqCgAJPJhM/nw+Vy0dXVRXV1NQ0NDcJZUa1WU1dXR2ZmJhqNBp1Ox927d3G5XPT19TE7O8vs7Cwej4cdO3ZQUVHxu6+fCPlxjNpwh2WoqjZTu6mW+gx+ZKilQ5+jQ1wf1zfi9vUnSKVS7Ha7sBWNRqPI5XLKysqorq7+2TkjIyODiooK8vPziUQiOJ1OwuEwwWAQu90uzCrJy8vDaDT+ZgIoNjPC+O2LdDogULyfzS117CiWiy7pGwxxpfwJUqmU6upqtm3bht1ux2q10tnZyfDwMMlk8hezcQaDgX379qFWq7FYLFy8eJHOzk48Hg/ff/89oVAIt9vNsWPHeOmll34jgSARpmyl0mlIp8VZIhsQUZS/QGlpKe3t7dy+fRur1YrD4WBychKfzyckfH6KVqvl5ZdfJi8vD5PJhF6vp6enB5/Px71795icnMTv95NKpWhubv7F8jy5Wk222YhWNk1o0orT6cVHAY9ffKRJxedBKkMqF51i1yPi9vUXUKlUJBIJ7ty5Iwz3KS0tpbq6mpycnN/sCsjOzqawsFCYGu1wOJibmyMUCjE1NYXD4UCpVGKxWH5WISJNBVH4B3k0MEn3eBpJdiFlTeUUaBbPlfOEpl1MT/lAIkWtE2cbrEdEUf4Ci2ZJnZ2dDAwMMD8/j1arxWw2U1JS8ptF6BKJBJPJRHFxMZmZmchkMvx+P16vl2AwyNDQEJFIBJlMhkajwWAw/KsNTAZqRZKgZwbn6DiO6WmcswHcrlHsj7p52HmDSzcG6Z9MkpmdjSVXTPmsR0RR/gqJRILJyUmsViter5dwOIxOp6Ouru6J6lw1Gg2FhYWUlZWhVCpxOBx4PB5SqZSQAIrH42RmZmI2mxfOmTItEkMOek0aTXgC53Av3fe76OnupPvuD9z87i43hiLMakppqCujqiDjBfwmRF40oih/BYlEQjwex+l0MjExgc/nQyqV0t7eTl1d3RM9x+I2NScnB4PBQDQaxeFwEIvFsNvteDweQqEQ6XSarKyshe2sTI/elEm2yYjRkEGGTkeG3ojBlENWfhml9a20bmmhrdZCnlEcB7QeERM9v4Jaraa2tpbm5ma+++47fD4fTqeTqakpotEoavWTn+eamprIz8/HZDKhUqm4f/8+Xq+Xnp4epqensdvtBAIBXn31ANk5OUh15RTsLOPk5kO84vPi9s0RTqlR6k1kZhrIzFCikol52fWKuFL+ChKJBI1Gw/T0NN9//z0zMzNIJBIqKyspLy/HaDQKZ8EnQafTkZeXR2FhITKZDI/Hg9/vJxQKCaPWIpEIubm5/5weLEGq0KI2ZJOda8ZsziUvKwO9RoFCJkUq2pCsW0RR/gYymQyv10tnZyeTk5OkUilUKhV5eXmUlpY+dcOrwWCgqqoKo9GIXC4nmUzi8/kIBAJCsUI6ncaYmYnRYPhRlleKVNTghkEU5e8wNzeHw+EQzoDhcJjc3Fyam5sxmZ6+dUoqlZKbm0tpaSl6vZ5QKITdbieVSjEzM8Pw8DDhUIisrCzy8vJWpHVIZGURRfk7SKVSYrEYVqtV6LM0m83s2LEDi8XyTM+5aDNhNpuFaxOPxyN0nExNTREOh4WulBfdZCuysoii/B1UKhUymYyxsTG6urpIJpNkZmayZcsWKioqnqvnLjMzk/LycvLz84lGo8L0r0AgwNDQEF6vF4VCIfRyPs0ZVmTtIoryd5BIJOh0OgYGBrhx4waxWAytVktFRQXFxcXo9fpndhmQSCSo1Wry8vIoKChAq9Xi9XqZmZkhHo8Ld5uBQACtVktBQYHoM7sBEEX5BCgUCsbGxujt7cXn85FOp1GpVBQVFVFaWvrcK5hSqaSkpITCwkIkEgnhcJhQKEQwGGRsbIzJyUlisRgqlQqDwfDCDJxEVgZRlE+I3+8X7im9Xi+RSITy8nJaWlqea+zZj8nKyqK8vByTyUQkEmF6eppYLIbP52NqaoqpqSlUKpUw00RkfSKK8glRKBTMzc0xNDTE5OQkoVCImpoatm/fjk73NC4AKUgECHtncDoDzEaSSNQq5DIJcqlUqJs1GAyoVCrm5uaYmZnB7/czNjZGIBAgmUxiMBiWyDlPZLUhivIJ0Wq1xONxenp6GBwcJJlMUlFRQXNz86+2c/0ycQiPMNnXzQ83rIwHpWiKcjCoZCyutzqdjrKyMiwWCzKZjNnZWWHM+6IhtEwmw2w2P3URg8jqRxTlE7KYZe3o6KCzsxNYyJ6WlpYKSZonIh0Dfw+DN27y+dcTjM0bsbRVkJ+h4MfPsHhtkpubS3Z2NvF4nImJCZLJJE6nk5mZGYLBIEqlkpycHHE7u44Qb6afAr1eT0lJCQUFBTgcDqxWK7du3aK2tpacnJwnexKJCuRzJGYd2EcjRIw+ZudTJH/hW1UqFa2trVgsFgwGA3K5nLt37+Lz+ejq6sLtdgtF7Vu3biU3N3fFbBFFlg5xpXxKFhM+TqeT2dlZUqkUjY2N1NfXP+EzpCDSj/V+P9c6Y8Tzq9j8ShOVRiW/1oiVkZFBQUEBxcXFpFIprFYrkUiEYDCIw+HA5XIRi8XIycn5Z92syFpGXCmfAoVCQVNTE9u2baOnp0dIvjgcDubn53/BkSBO3D3G1OgoI1NeHP4kSVkSbeIhg4N+fAk1RrUCuUzyu+ZYeXl5HDlyBJVKhUaj4erVqwwNDeFwODh//jxut5tAIMCRI0eor68XBw6tYURRPgWLrnZ1dXWYTCasVutjNh8lJSU/+u554t5+Hn13gWuXvueHRy6GPIBSSbYpTsiTYjJUjFGx0PHxJGkimUzGrl27hGKDc+fO0dvbSyQS4d69e7hcLmw2G++99x47d+4U62bXKOK79pQoFAoKCwsxm80AxGIxBgcHGejvx5SVhT7jn5tQVxcTt7/k7Of3uDmWQG5pprkpGxNB1JFR+oJuptIpkil4mgHtGo2GpqYmZDIZ2dnZXLp0ie+++47p6WlGR0f54osvCAaDzMzMsHfv3ic/64qsGsQz5TMQCoUYHBxkeHiYWCwGQFZ2DlXV1WRmGoE5Zu/9g++/+JJP+tT4K09x/M//xv/+80lO7Kplq2WOeec0w5MqFCW1bN7XQKVBydPcdprNZqGvM5VK4fV6CQQCBAIB+vv7hYnUi44GYgJo7SCK8hlIpVJCN4fT6SQYDJKRkUH71m1YLPmQnKDv/MdcuzbCsOllao78gTdfrqDZKEep1aNV2PEO2+gagnRBFa37G6l4SlHCwt1pXl4eRUVF6PV6ZmZmcLvdpFIpofooFosJPkBi3ezaQNy+PgMGg4EtW7bQ2dlJV1cX4XCYCasdt9sNREjHrdjsXqweI6bNzbRuKaE8c/HRCZAqUGlVKORRUs8ZS1ZWFnv27CErKwuVSsXZs2fp7+8nGAxy7do1wd3A6/WyadMmsQpoDSCK8hlQq9XU1NRQXl6OSqUiEokQCAQZH58gHC5CGZshEpUQjunRaHWYMkEu7B4XT5BLu2rV1tbyl7/8BYvFwt/+9jeuXbtGIpGgt7eXUCjE2NgYx48f58CBA8/UnC3y4hBF+QxIJBIMBoNgujw7O4t/dmHy8/hENmWmMDKZHJAhk0qRyn6SzJFKkUolLPy3NMjlcoqKijh27BgajYacnBx++OEH7HY7w8PD+Hw+gsEgXq+Xffv2PbEjn8iLRxTlc2CxWKivr2dycpLZWR/3OzroflCI5aUCTJlqtCo3vlAQrx9SBYuPksB8nHg0RiKZeu7t60/Jy8vjzTffJC8vj6ysLC5fvsz4+Dgej4fz589jtVqZmZnhzTffFFZ6kdWFmOh5DhKJBD6fD7vdjsPhIBQKUF5ZQVvTJhTuCR71P2JIWoGupIX2KiVGCcAcybEb3LnazXeDUihvYMv+xqfOvv4WMpmM3NxcCgsLMRqNgt/soo/t9PQ0Xq9XWO3FzOzqQhTlc6BQKEin0wwPD/Po0QDRaJSS8hq2tW2lQBvB4xyh3xbENROGeIDQtB374F367lzn8vfD3B1Voa5uoP2VJqqWUJSwUNBeWFj4WLG8z+cjHA4zPT3N8PAwiUQCtVqNwWB4yvYzkeVEFOVzoFAokMvldHV10dHRAUBuXhF1tXVUV+ailUdxD/fT33GTnr4ebt26y/279xmccjA0I8UTNlHY0MiW/Zuo0CuWVJSLGI1GioqKKCgoeKxuNhKJYLPZcLlcyOVyzGazaNC1ShBF+RxIJBLkcjl9fX10d3f/c8CsArM5l8q6esoqq9AqVMiJk5JrUWgzyckrpKi+gcr6NhobmtmxYxPNDYXkq2Usx+lu0RGvuLiY7OxslEqlMC8zHA4zNjaG3+8XanezsrLE8rwVRvztPycKhYKKigoaGhoW5lDaJ7h95w7t7Vsof+0VXnq3jeo947g8ceIKPRnZ2ZiMKtRSKZK0FLlSiUqjWPY3QqPRsHPnTqE/84MPPmBgYIBYLMbVq1eF8QknT55k69atTzWWQWRpEVfK50QqlTI/P4/H48FqteKZmSESjbKpqY1tW7cjU2rQZ1uwFBZSVJhLrikDvUaDRq1Go1GhUsqRPWFB+vOy6FaQm5uL2WwmkUgII+RdLhdut1uoCMrPzxcNulYIUZTPiUQiEbaEDx48wOFwEIlEaGluorm55V//sFdRiZvZbKaqqgqNRkMymRR6Mz0eD0NDQ/h8PpRKJWazGZ1OJ2ZnXzCiKJeARYOrmzdvMjY2RiqVoqKinPLycrKzs39z8vNKodFoyM/Pp6ioCJVKhc/nw+12Mz8/j8vlYnx8nHg8Tn5+vlia94IRRbkESKVSotEo3d3djIyMEI/HUalU5OTkUFZWtmqzmjqdjtLSUrKzs9FqtSSTScFeZHJyUjDrWrw2EQsNXgyiKJeIxYt5m80muJobjUY2bdr0zDNHXgRSqRSz2UxZWRkmk0kwgE6n07jdbkZGRgiHw+j1erKyskRHgxeAKMolQiqVkkgkcDgcjI6OEggEUKvVbNu2jaqqqpUO7zeRyWSYTCZh6JBcLsftdhMKhQgEAjgcDvx+P7FYjIyMDHE7u8yIolwiFAoFKpWKqakpOjo6CIfDKBQK2traaGxsRCqVrvp+Rr1eT1VVFWazmVgsJtxlBgIBRkZGcLvdQjF+RkbGqjwrrwdEUS4Ri5OfJycn+f7775mdnRU8fYqLi9eMafJi3Wx5eTlarZbZ2VmcTqeQAHI6nbjdbjIyMigtLV31HzRrEVGUS4hMJmN6epru7m5cLhfJZBKFQkFeXh4VFRVrJlGiUCiwWCxYLBZUKhUSiUSYnbnodzs3N4dSqRRWTZGlQxTlEjM3N8f09DSTk5PCuaygoIDNmzev2izsr2EymaisrCQnJ4dEIiG4si82TU9OTqLRaCgsLBQL2pcQUZRLjFwuJxaLMT4+zsjICKFQiMLCQl566SXBAW+tIJVK0ev1WCwWsrOzycjIIBQKCebPVqtVqJvNyMggJydH3M4uAaIolxiNRoNEIuHRo0f/6hzJzWXz5s2UlJSsyeoYjUZDcXExxcXFKBQKZmdn8Xq9xONxxsbGsNvtAMIo+KUaDbhREUW5DKhUKnp7e7lz5w6JRIKMjAxKSkooKirCYDCsydVELpeTnZ2NxWIhNzeXaDQq3GdOT0/jcrmYnZ1FKpWSm5sr3mc+B6IolwG5XM7Y2BiPHj0S5o0sTmuuqKhYk6KEhe1sdnY2FRUVaDQa5ufnCQQChEIhZmZmGB8fJxAICNcmBoPhF3cGiwX8AwMDjIyMkEgk0Ol0YsvYPxFFuQxIpVICgQBut5upqSk8Hg/RaJTa2lpaWlrWxNXIb6FWqyksLKS4uJhkMsn09DSBQIC5uTmhqikSiQjdKD8lEAhw+/Zt/t//+3989tlnBINBCgsLyczMXJPb+6VGFOUyoVQqCYfDDAwM/NO/J8SmTZtob29fF1s7jUZDaWkpJpOJjIwMUqmUkJ21Wq1C5lmj0WA2mx8rNHC73Vy9epWPP/6Y7u5uvF4vRUVFVFZWin2ciE3Oy0Z+fj719fXk5uYCCzNHHA4HNpsNo9G4LlYEmUzGSy+9hMViIT8/H51Ox507d5idneXBgwfCcNtYLMb27duF+0ypVIpcLiczM5OJiQkGBga4desWu3fvJjMz83dedf0jrpTLhEQiYX5+no6ODnp6eoCFyc/FxcVYLJZ1c68nlUrJysoSmqeVSiXT09MEg0Hm5uZwuVxMT08Lhe+L5XmRSISRkREGBgZIJpOYTCba29t/MrlsYyKKchlJJBIMDQ0xPDzM3NwcyWSSjIwMKisryc/PX+nwlhSTyUR5ebkw5WtmZuZnA4cUCgU6nY7s7GzMZjMTExPcvn1byFBXVlZSXFyMVqtds8mwpUAU5TKSTqcJBoO4XC6mpqbw+/1IpVJaW1uprq5e6fCWnEW3grKyMnQ6HW63G5fLBSD8DsLhMLm5ueTn5+NwOLh//z4+n490Oo1er6ewsHDDe9GKolxGpFIparWamZkZHjx4gN/vB6C9vZ3GxsY1n4X9JZRKJfn5+VgsFrRaLdFoFJ/PRygUwm6343Q6SSQSwp9IJILX68Xr9RIOhyktLaWlpWVDX4+IolxGZDIZBoOBqakpbt++jcfjQaFQUFdXR1VV1ZotJHgSTCYTtbW1GI1GYYjtogCtVitTU1MolUr0ej1utxubzYbP56OmpoatW7eumzP3s7BxP45eEIsdF7m5uQwODhKJRHj48CH9/f1kZWWt2w6LxUKDQ4cOYTAYKCkp4cqVK/T392O1WvH5fPj9fkwmk7CDSCQS2O12xsbG0Ov16+Lq6FkQV8oXQCAQYGxsjLGxMebm5kilUuTk5FBXV7fmOkeeFp1OR21tLSUlJahUKpLJpOBo4Ha7mZycZGZmhkQiASA4GywWE2xERFG+AFKpFMFgkMnJSWw2G8Hg/9/evf000a1xHP+WHqaApU4BtSAHiwgBJQQCeGHiKTEmJm9iovf+S8Y/Qm+80MQ7FCIiiZCA1QBNC4QqpVjaQg+0nXbKvjBMJK8mOzvZ7dg+n1s6zSLNL7Nm1rOelcbj8TA1NfXX7Rz5X50/f56enh7a29vRNI2dnR3S6TS5XM4IJEAul8Nut9Pf309vb28VR1w9Mn2tgJM1uMXFRRYWFsjlcsZ+S13Xa/KFz/7+PoFAgL29PaxWK01NTTidThRFobOzk4sXL6JpGkdHR6euSyQS+P1+Y+dJPZJQVoDT6aS/v5/u7m6cTif5fJ7Dw0M2NjZOVf3UkkAgwLNnz1hYWMBut6OqKh6Ph6amJkqlEk1NTbS0tPwrlADRaJRgMEgkEsHr9dbsy7A/kVBWgMViwe1209HRgdfrZWtri1gsxvLyMsPDw7S2ttbU3VLTNMLhMB8+fGBnZ+fU35xOp9Gv6HeBBEin00xPT+NyuXj8+HHdVflIKCuoq6uLkZER9vf3icfjLC4uMjY2VhM7R36l6zrNzc0MDg6Sz+fRdR2LxYKmaei6TjKZRNd1dF3/7fWlUon5+Xmy2SyTk5MSSvH/c+nSJSYmJggGg8aySCgUolAo1NTuCLvdzvDwME+ePCEUCpFIJEilUhwcHJBMJo3lkEwmw9HREfl8/rffE4vFKBQKFR599UkoK8jr9TI+Ps779+9ZXV0llUoRiUTY39/H5XLVTGmZzWajr6+P9vZ2Y1ZwcHBw/OajOQAABPVJREFUKpgHBwccHh4ajbhO3sIeHx8DP0sUBwYGaq5G+L8hoawgl8uFz+c7tQwSjUZZX1+ntbW15tblWlpajHrWX0vrisUixWKRUqmEruuUSiXK5bIRyBMnhxDVGwllBVksFlpbW+nq6sLj8ZBIJNja2mJpaYm+vr6aCyX8/J8VRflret6aQW3Ml/4iiqIwMDDA0NAQTqeTcDjM0tIS4XC42kMTJiGhrDBFURgeHmZsbAxVVY1a2EgkUu2hCZOQUFaY3W7H5/MxMjJiTFd//PhBJBIx9hWK+iahrAJVVenp6cHtdgM/F9s3NzcJBALkcrkqj05Um4SyCk4aFvf29uJyuSiXy/j9fhYXF41tTKJ+SSirRFVVRkdH8fl8HB8fEwgEWFlZIR6PG5/RdZ1sNks8HieRSFAoFGR6WwdkSaRKPB4P4+Pj+P1+1tfXSaVSRvXLia2tLebn51lZWcHj8XD37l1GRkZqdmO0+ElCWSUntaFXrlxBURTj5ORIJEKxWMRqtRIIBHjx4gVv376lr68PVVXp7e2VUNY4mb5W0YULF+jo6MDlcgEY7Rh3d3cpFArs7e0RCAQoFoscHR2RTqf/WCcqaoeEsopsNhter9c4MCeVSvHp0ycCgQCFQoFcLkcymQQw+vn82v5f1CYJZQWVSiXy+TyFQsHYttTT08PU1BQdHR1kMhk+f/7M2toamUwGTdPIZrPAz+nuuXPnjLuqqF3yTFlBfr+fjx8/kkwmuXbtGjdv3mRwcJAbN26wvLzMxsYG0WiUzc1NYrHYqf41JwflyPNk7ZNQVoiu6ywsLPD06VN2d3e5ffs2xWKRe/fu0d/fj8/nY2ZmhnK5zPb2Nl++fDlVeudwOHC73XXdpLheyC9cIZqmEY1GCYVCAMzNzZHNZtF1natXr+L1enG5XEbvntnZWcLhsLEu6XA46rpBcT2RUFbQ5cuXmZyc5OvXrxweHjIzM4PT6eTOnTtkMhk6OzvRNI3v37+Tz+eNHjZWq5XGxkZ5yVMnJJQVoiiKMWV9/vw57969A2B2dpbt7W06OztRVZVYLEY8HieTyRh3yZPObzJ1rQ/yK1dIQ0MD3d3dPHjwAEVRcDqdzM3NkU6nWV1dJZFI4HK50DSNcrlMuVw2rnO73aiqWlPNtcSfSSgrzOv18vDhQ2PNcXp6mmw2SzQaNY6N+5XVaqWtrY22tjYcDkcVRiwqTUJZBWfOnOHWrVtGD9Q3b94Qj8d/W2xut9uNU5LlmbI+SCirRFVV7t+/j8PhwG63MzMzw/b29r96oZ6Esr29XUJZJySUVWSxWLh+/TotLS2oqsqrV68IhUKn7ph2u52zZ8/idrsllHVCQlllzc3NTExMYLFYaGxs5PXr16ytraFpmvEZq9VKQ0ND3Z2pUa8klCYxOjqKy+XCZrPx8uVL/H4/AMViEZvNhqIoEso6IaE0CZvNxsDAAI8ePSKbzbKxsUE2m0XTNOMQVVkSqQ8SSpMZGhrin3/+4du3bwSDQbxeL6Ojo3VzuKwAy7E0fTGdbDZLMBgklUrhdDrx+Xy0tbVVe1iiQiSUQpiMbHIWwmQklEKYjIRSCJORUAphMhJKIUxGQimEyUgohTAZCaUQJiOhFMJkJJRCmIyEUgiTkVAKYTISSiFMRkIphMlIKIUwGQmlECYjoRTCZCSUQpiMhFIIk5FQCmEy/wFhSj2QWTCPgwAAAABJRU5ErkJggg==)
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.