Question
If
=
The correct answer is: ![4 over 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAKpJREFUeNpjYCAO+ADxfwYKAQ8QX6OGQTOBOJlSg6yBeC+UTbZBbEB8CYjlKTWoA4hzkPhkGaQHxEfRxMgy6CQQq1DDoP8EMEWAYgMGr0GjgIrgP5l4FAyFGBwtMmhg0C8g/gTE24C4CFp1kw1YgNgYiGuB+AYQa1DDlW5AfJBaXv5BDUN0gPguqZrWAbElEDNBsQfUkCBSDQoF4ltA/AeI3wHxKiA2xacBAKUEQfdpS8DQAAAAYnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+NDwvbW4+PG1uPjU8L21uPjwvbWZyYWM+PC9tYXRoPmihbmAAAAAASUVORK5CYII=)
We can also find the answer using pythagoras theorem after getting the value of sec
Related Questions to study
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,iVBORw0KGgoAAAANSUhEUgAAADIAAAATCAYAAADSz14iAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAYpJREFUeNpjYMAEP4D4DxA/BOK7QLwJiCUZ8IMCBsJACYi7gPgCEH+Dmt8MxIIMNAAqUIuQAciy+Xj0hAPxLyBmwaOmBIi3ALEtEDNBxWShATCfFh4JAOKlaGJBWMRgABSal4B4N1QvNlAOxLMZ6AzqoRYjg4VA7IFD/UwgjgTieCCegkVeDZo8WejtkVXQkAVFvwEQz8WT/i2hyQUExKEORgc9ROYfdPCfCIwX3EJS+AVPTIBC+Aw0ncPAOSDWQFN3DZrv6AqYoI4HATYgdgHi49DkgS0JlqCJtQJxFpp5PxgGAJgD8V40sWhokYkMNKChjw7soUU1A1JgfCLTLRQlrUhonkAGsVhKnMN4DEcvhkExzEXvGJkExIloYnOhHoSBNCCegMeM5UDshaa/hN4eWYeUuUWBOBRaObJBxSShdQYPHjOS0TwqD8TvgLgSqQbnAGIfqCddaOGRd0hJ5Ac0dKXRimYfAmZIQ0s+9NbCQmh+AZn9AYjXoMXcKBgFo2AUjHDwAw0PGQAAqWtlwW6+32EAAACCdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG11bmRlcj48bWk+QjwvbWk+PG1vPl88L21vPjwvbXVuZGVyPjxtaT5BPC9taT48bWk+QzwvbWk+PG1vPj08L21vPjwvbWF0aD7xN2OFAAAAAElFTkSuQmCC)
![](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,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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,iVBORw0KGgoAAAANSUhEUgAAAMoAAAEfCAYAAAAA4VmAAAAgAElEQVR4nOy9V1db6Zrv+1OWUAaJnJNtwAHjgA22MTjnSmtV73N6dPf+En3bH2Pvi73H2KtPr1W1y1XlbBwxjmAcMDmYDAIlJCSBQPFcUGhVrbJdDpg4f2P4xpamnzmn/m943ieIotFoFAEBgXciXm4DBARWA4JQBATeA0EoAgLvgSAUAYH3QBCKgMB7IAhFQOA9EIQiIPAeSJfbAIHl4/nz5/T29pKSksLmzZsxGAyIxcLY+SYEoawzQqEQgUCA4eFh/s//+T/cunWLLVu28K//+q9UVlai1WqX28QViSCUdcTU1BStra00Nzfz6tUrbt++zeDgIFarFbPZzIYNGwShvAVBKGscn8+H2+3GbrfT2dnJw4cPefDgAV1dXYRCIQBcLhfd3d14vd5ltnblIghlDWO323n27BlPnjyhra2NkZERLBYLExMTRCKR2OeUSiUJCQnIZLJltHZlIwhljTE5OcnQ0BAjIyP09fXx9OlTGhoaGBwcfOPnpVIpeXl5bN26Fb1ev8TWrh4EoawBotEokUgEi8XC06dPqauro6mpibGxMTweDzMzM2/9rkKhIC8vj4KCAtRq9RJavboQhLIGcLvdtLS08ODBAx4/fsyrV6+wWCyxf09KSiIcDjM5OfmbJRfMzygmkwmTyYRcLl9q01cNglDWAD6fjxcvXvDzzz/z4sULANRqNXq9ntzcXIxGI0NDQ7jd7jcKRaFQoFQqhTOUdyAIZQ0gl8tRq9Us5OBptVqOHTtGeXk58fHxdHd3MzExwZty9KRSKXFxcahUKiQSyVKbvmoQhLIG0Gq1bN++na+//ppNmzaRkJDA8ePHKS0tZXBwkCdPnuBwOJBKpSQnJyOTyRgfH2dubg6JRIJarUatVgtCeQeCUNYASqWSoqIiUlJSmJmZQS6XEx8fj9vtprGxkfv372OxWIiPj+fw4cMAXL9+HavVilgsjglFWHq9HUEoawCxWExcXBxxcXGxv5udneXOnTucP3+erq4uADIzM6mpqWFmZobHjx9jtVoBUKlUaDSaZbF9tSAMIWuQSCTCkydP+OGHH3j06BEA6enpVFZWsm3bttjyC+Zdy0qlEpVKtZwmr3gEoaxBnj9/zsWLF3n+/DnRaBSRSERFRQXnzp0jKyuL2dlZwuEwMC8qhUKBVCosLt6F8HTWENFoFJvNxt27d6mtrcVqtaJSqSgpKeHMmTPs3r2bSCSC1WplamoKmI8mFvYmf4zwhNYQbrebpqYmnjx5Ql9fHwCFhYV88803VFZWIpPJCAQCzM3NxWYUjUaDUqlcTrNXBcKMsobo6uri559/5uXLl4RCIRISEti9ezdHjx4lMzMTmN/4p6ens2PHDpxOJ0VFRaSmpi6z5SsfQShrBIvFwp07d7hx4wZjY2NoNBp2797NgQMHyMnJiX1OpVKxbds2QqEQ09PT5Obmkpubu4yWrw4EoawBHA4H165d4/Lly4yNjQHzXq5jx479LmtRLBaTlZWFXq8nFAqh1+t/41YWeDOCUFY5s7OzNDc3c+HCBZ49ewaA0WikqqqKqqqq2JLr16hUKsEd/IEIm/lVTDgcpqOjgzt37tDa2kokEkEul3P06FG++eYbCgsLl9vENYMwo6xiXC4X9+/f59atW4yPj6NWqykuLubkyZPs2bMHhUKx3CauGYQZZZXi9/t5+fIl9+7do6WlhWAwSEFBAadOnaKsrExYWi0yglBWKS0tLXz33Xc8ffqUYDCISqWitLSUEydOkJ2dvdzmrTmEpdcqIxKJMDExQW1tLVevXsVqtSKVStmxYwdVVVUUFRUJs8lnQJhRVhl2u51bt25x9+7dWPRvbm4uX375JdXV1YJIPhOCUFYRwWCQjo4OLl26REtLCwCpqakcPnyYo0ePkp6evswWrl0EoawSwuEw/f39PHz4kBcvXuB2u1Gr1dTU1HDmzBmysrKW28Q1jSCUVcLU1BR37tzh2rVrjI6OIpVK2bBhAzU1NezatUs4Xf/MCEJZBczNzdHU1MTly5dpaGggFAqRk5PDoUOH2L59OwaDYblNXPMIQlkFvHjxgh9//JGmpiZgPl5r586dnD17VghoXCIE9/AKJhwOY7PZuH37NrW1tTidTpRKJdu2bePYsWOUlZUJp+9LhDCjrGAcDgf379/nyZMnjI6OArBhwwa+/fZbDh48KIhkCRGEsoLp6enh0qVLvHr1img0SmpqKpWVlRw5ckRwBS8xglBWKENDQ9TX1/PgwQMsFgs6nY6KigpqamoEkSwDglBWIE6nkytXrvDjjz8yMjICQFZWFocOHWLPnj1CV6xlQBDKCmN6eppnz55x8eJFmpubAUhJSaG6upq9e/eSnJy8zBauTwShrCAikQivXr3i2rVrtLW1ASASiaiqquLrr78mPz9/mS1cvwju4RWE3W7nwYMH3Lx5k4mJCbRaLSUlJZw+fZpdu3YJ/UuWEWFGWSG43W6ePn3K48eP6e3tJRqNUlhYyNdff83u3bsFkSwzglBWCB0dHZw/f55nz54RDocxGo3s2LGDQ4cOvbFAhMDSIiy9lplIJMLo6Cg3btygtrYWm82GSqWivLycqqoq8vLyhLrAKwBhRllm7HY7V65c4fr169hsNmC+PcPJkyc5cOCA0IB0hSAIZRmZmZmhpaWFK1euxFzBaWlpHDlyhOrqalJSUpbZQoEFBKEsE6FQiK6uLurq6mhvb48ViDhy5Ahff/21EBW8whAWv8uE2+3m/v371NbWYrFYiIuLY8uWLRw6dIgdO3YIAY8rDGFGWQb8fj+NjY3cvHkzVnk+Pz+fkydPUlpaKmQrrkAEoSwDz58/j9XkAlAoFJSWlnL8+HGhJtcKRVh6LSHhcBiLxcLNmze5ceMGTqcTuVzOnj17OHr0KMXFxUJTnxWKMKMsIVarlZs3b/LgwQPsdjsw3xHrT3/6EzU1NYJIVjDCjPIuQl68U378ITEipZY4rQL1Rw4toVCI7u5url27FqvJlZ2dzaFDh6ipqSExMXERDRdYbASh/CMhP3MzbjyOCcbHrYw7p/EFpYhVRrTxJpISEzDFa9CplCjkEiQiEP3BJaPRKK9fv6a+vp7nz58zOTmJTqejqqqKEydOkJaWtiS3JvDxCEL5NcFx7C0PaXzQwMOWMYa8EaJKJVIxMDdLMCgirEwhuWgXOw/sZe/2bLLi4I/CFScnJ6mtreXnn39mdHQUkUhEQUEBBw4cYMeOHcLp+ypAEAoAUfBbsHbcpf7iVa7Wd9Hu1SA1JZOhUaFVhInMOZmZtDI03segNUDInEVSQTaJKpC/Y0rxer08efKEy5cvx5ZceXl5HDlyhB07dmA0GpfoHgU+BUEoAGEf0123abp8nv9710G/YgfbvjlIZVkmBXolCnGUaMDH3NQo/c9bGXZKQBHGPwfBMO98is+fP+enn36KiUQsFrNnzx6++OIL8vLylub+BD4ZQSgECM/00//0Lo/uddAZqCD90P/Dl/9tP4eyJPzWDxVh7+YWhgZtjMelEKd6+7JroT1DfX09t2/fxuFwoNFoKCsr49SpU5SWlgpRwasI4U3hJjDZTsurQTqsCSTsr2b/4T1sT/1HkQCIkaYXk2MuIBUZIinIJG++qtPp5MGDBzQ2NsZqcm3atIlvv/2Wffv2CSJZZQhvK+Bg1vKavqFZxqOZ5JVsZOsWJWbZWz4vkiFWyvijLiRdXV1cuHCBly9fEo1GSUtLo7y8nAMHDpCamrrYdyHwmRGEMusmYHMw6VMwq07BlBxH4idUA1pwBd+4cYO6ujqsVitarZaKigoOHTok1ORapQgn88FZItMzzIbEBOUalCoZav74bORt2O12Ll26xMWLF2MdsTIzM6mpqRFqcq1iBKEAiETzwohGiUYh+pGX8Xg8PHv2jOvXr8fKDaWlpXH8+HH27duH2WxeLIsFlhhBKHIVErUalSyCbM7DjG8OLxD5wMuEw2FaW1upra2lq6sLmI8KPnr0KN98841Qk2uVIwhFaUCeZCJeO4vSN4Z1zMu4+8OXXg6Hg0ePHsVqcul0OsrLyzl27BilpaXIZG/zDgisBgShyEwoUvLJy1aRKhlirKWV500exmbe8vmQn4DPg296lrlf1mg+r4fHjx9TX19Pd3c34XCYwsJCzp07x/bt2wWRrAEEoaBHnrCZbaUFbEmbwtt8g7rLt7nX68X+u8968XQ38OpuLfee99Htg1mgo62F7//2t1hHLIPBwPbt26muriYjI2OJ70fgcyC4h5EjUWWTu/MQ+yacvL42TFvT37isHMfZlc8mkwKVJArhaeYmR+l73orFG4eyIpPZzDmsPQPc/uEH7ty5g+OXqODKykoOHz5MQUGBUOFxjSAIBUCsRlFQzfbTUvziq9TeecHz693879t6jAl69CoQzXnwTflx+9Ukl1Sx32jCOT7Mte/+F3fP/4BjchKYzzE5e/Ys1dXVqFR/dCwpsFoQhLKAMpGEkhqqpGp0pjRSXw7QPeFnWiRHKgVxnAaNWUt+QjZ5pXvZnK6lt/Uxj+tuMWQZn7+EUkl+fj7l5eXEx8cv8w0JLCaCUH6NyIhuQzUVmbvYdsqNy+nC6fYzExQhVuvQxZtISdAiFkno6e7g9rOHuO3W2NelUikKhYJgMLiMNyHwORCE8o+IFcjUCgzqBAzJkBMOEAgCCnks7yQ4N83LhvvU3byOy+mMfdXv9zMyMkJrayvJyclCpcc1hOD1+iMkcuTKv4vE5/NxrfYWP126Skt7J4FgEIVCgU6nQyqV0tHRwZUrV2hoaGB6enp5bRdYNIQZ5QNpbGzkb3/7jqamZwCoVCqKi4sxm8309fXR09NDXV0d8fHx5OTksG3btmW2WGAxEITynoRCISwWC3V1ddy9exePx4NarWbfvn2cPHkSrVbL5cuX6enpweFwcO/ePZKTk1Gr1RQUFCy3+QKfiCCU98Rms3Hz5k0eP34cq8m1adMm/vSnP/Hll18yNzeHw+GgtbWVnp4eenp6+P777zGZTCQmJqLX65f5DgQ+BWGP8h5EIpHf1eTKz8+nqqqKyspK9Ho9iYmJHDlyhLNnz5KcnEw0GqWrq4urV69y584dJn85ZxFYnQhC+QOi0SidnZ3cunWLp0+f4nQ6Y6fvR48e/Y1na/PmzXz55ZccOHAglnfS1NTEjz/+SFtbm+A2XsUIQvkDHA4HV65c4fz584yPzx8s5ufnx2pyaTSa33y+pKSEr7/+moMHDyKXy3E6nTQ2NnL//n36+/sJh8PLcRsCn4iwR3kHLpeLx48fc/36dXp7ewHIzc3lxIkTlJeXYzAYfvcdjUbD/v37mZycZHh4mPb2doaHh7l58yYmk4n4+HghgWsVIgjlLUSjUV68eMGFCxfo7OwEQCaTUV1dzVdfffXOmlyJiYns2rWLvr4+/H4/3d3dNDU1YTQayc3N5cCBA0KjoFWGIJQ3EI1GsVgsPH78mLt372Kz2TAYDOzcuZMTJ06wefNmJJK31Cn6hfz8fM6cOYPFYmFwcJDZ2VkaGxsxmUxoNBr27t27RHcjsBgIe5Q34HQ6uXfvHo8fP2Z4eBiRSMSGDRv45ptv2L179x+KBIgVuzt06BBlZWVIJBKsViuXLl3i0qVLDA0NCfuVVYQwo7yBtrY2zp8/z7Nn86fvqamp7Nq1i8rKyg+K31IqldTU1DA1NcXU1BTt7e04HA5u375NRkYGp06dIisr63PdhsAiIgjlV4TDYV6/fs3169e5f/8+k5OTxMXFUVFRwZEjR8jMzEQk+rBs+vT0dE6cOMHIyAgulwuLxUJ7ezsXLlwgJSUFk8kkVLNfBQhLr19htVq5ePEiV69ejR0Q5ubmcvToUSorKz/6B52ZmcmZM2c4efIkCQkJzM7O0tLSQn19Pa2trczOzi7mbQh8BoQZ5RfcbjcvXrzg1q1btLe3A1BQUMCZM2c4cODAG13B74tcLmf79u04nU4GBgZoaGjAZrNx9+5d9Ho9SUlJ5OTkLNatCHwGBKEwv+Rqb2+ntraW7u5uANRqNYcOHeKrr75alE69arWarVu3cvz4cbxeL42NjbS3t6NWq8nPz0ev1wtZkSsYYenF/On7w4cPuXHjBuPj4+j1enbv3s3BgwcpLi5+Ly/X+5CWlsaJEyeorKzEaDQSjUZpa2vjr3/9K/X19UKIywpm3c8obrebe/fucfv2bV6/fg3Mn4GcPXuW7du3L+rBoFwuZ+PGjRw5coSBgQFu3bqF1+vlzp07JCYmkp6ezubNm4XuwCuQdS+UZ8+e8be//Y2nT58CoNPp2L59OwcPHvxsNbl27dqFx+NhcnKSe/fuEQqFePz4MWlpacjlcrZu3fpZ/l+Bj2fdCiUYDDI4OMjNmzepr6/H4/GgVCrZv38/J0+epLCw8LPV5DIYDFRVVTEyMoLdbqe7u5u+vj6uXbtGVlYW6enpJCQkfJb/W+DjkPzHf/zHfyy3EcuBxWLh4sWLXL58mf7+fgC2bNnCv/3bv3HixAni4uI+6/+vUqlinrShoSFcLhcejweFQoHRaCQpKUlYgq0g1uWM4vf76ezs5Pbt23R0dADz2YrHjx+nsrJySXqYLLTQPnz4MD09PXi9Xmw2G48fP0an05GamkpZWdlnt0Pg/Vh3Xq9IJEJHRwc3btygpaWF6elpdDodBw4c4NSpU0vaNk4qlVJYWMjJkyfZsWMHMpmMkZER6urquHHjBgMDA0tmi8C7WXdCcTgc1NbW8vPPP2OxWFAoFGzevJmKigq2bNmy5GVQExISqKmpobq6Ohb3NTAwwHfffcfVq1dxuVxLao/Am1lXQlmICq6trWVgYIBwOExeXh6nTp1i586dn31f8iZEIhFJSUlUV1dz8uRJUlJSYk2JLl26xMOHDwWxrADWlVCeP3/ODz/8ECsQIZfL2bt3LydPniQ3N3dZbSsqKuLPf/4zBw4ciAVeNjc3c/78eV6+fLmstgmsk818KBRieHiY+/fv8+DBAzweDzqdjn379nHmzBmKiooW7fT9Y1EoFJSVlXHu3DnsdjuNjY3Y7Xbu3LlDdnY2ubm5ZGRkLLud65V1IRS73c7t27d5/PgxVqsViUQSq8lVUVGxYn58crmcffv24fF48Hg8PH/+nLGxMR48eEBGRgYnTpwQetQvE+tCKJ2dnVy+fJnm5mZgPnR+//797N69e8UFIqamplJZWUl3dzeTk5P09fXR3NyMWq0mMzOTxMREpNJ18dpWFGv6iUciEVpbW7l8+TINDQ24XC40Gg2VlZUcO3aMtLS05TbxjWRmZnL8+HGcTicOhyNWDSY9PR2DwcCOHTsQi9fV9nLZWdNCmZiY4NKlS1y8eBGHwwHM55hUVVWxa9eu39XkWimo1Wp27drFxMQEXV1dNDQ0MDk5yYULF9DpdCQmJi5K6L/A+7NmheJwOHjy5Am3b9+OHdzl5+dz7tw5KioqVqxIFtBqtVRUVDA+Po7X66W9vZ2JiQlu3LhBXl4ex48fFxqpLiFrcv6ORCK8evWKS5cu0dPTA8yP0keOHOGrr75aNdmEWVlZfPHFF5w4cQKj0QhAb28v58+f5+HDh0IK8RKyJoUyPj7OkydPuHv3Llarlfj4eA4ePMjRo0fZsGHDqlnfi0Qi8vLyOHnyJKdOnSI5OZmZmRmePn3K/fv3aW9vF8SyRKy5pZfD4eDOnTvU19czOjoKzO9Lzp07R1lZ2ar0GJWWlvLNN9/gdDqpq6tjamqKJ0+ekJycjEajYcOGDctt4ppndQytH8DLly/5/vvvY4lYKSkp7Ny5k71795KcnLzM1n0cC8lk1dXVlJSUIBaL6e7ujnnzPB7Pcpu45ll9w+tbCIVCsR4mjx49iiVi7du3j1OnTpGdnb1iDhY/hqSkJA4dOoTT6WRsbAyLxUJLSws//fQTRqORw4cPC33tPyNrRijj4+NcunSJW7duMTU1BcznmJw6dYr9+/ev+h+RVCqlqKiImpoaOjo6uHnzJn6/n1u3bqHT6UhOTv6085XQHKHpSaamvEzOhJgLRRGJQCQSI5YpkSk1aDVqNGoFcpkE6YfVAVz1rAmhTE1N0dLSwr179+jq6gLm+5R88cUX7Nu3b9WLZAGZTEZpaSnffvstHo+Huro6/H4/9+/fJysrC5VKxebNmz/u4tMTeFtucr/xFXe6p3HMRFHJRYhEUSKhCBGxBpW5gLxtO9lZvoUteTrigfWil1UvlEgkQltbG9euXaOzs5NwOIxOp+PgwYOcPXuW9PT05TZxUYmPj+fIkSNYrVbGxsbo7+9ndHSUK1euYDabSUlJISEh4YNLvzJjw9tzj8abD/i/rUrQxrMxU42CCMEZL7PTs7jmXvCyZ5SxoJxwXCl7EmWoV+9q9oNY9UKxWq3U1dVx+fLlWE2uhYLaGzduXJVerj8iPj6eQ4cOYbPZ+PHHH+nu7qazs5MHDx5QWFhIeXl57NzlvQnPEQn48YQ0RJN2sqtmL/9vTQYGokRCMwQcHTy7fo2nffdpfJCLPjWHwr1m1Cv73HbRWNW/IqfTya1bt7h+/TojIyPAfMDjmTNnKCsr+2xVVFYCBQUFnD17lvHxcWw2Gy6Xi+fPn5OQkIDBYGDPnj0fdkERiGQKJLoMTAkV7Dn+Ff906NeVYAbYMN2Cb+ghV4eG6RmexVcGrBOhrGr38NOnT/n+++95/vw5MN+TZPfu3dTU1Kz5dgpyuZwNGzZQXV3N7t270Wg0DA8Pc+PGDerq6mIDx/sjAkSIohGioVnmpn14f/3PwSCzKFBq9JjidRh1SuTrZNkFq3RGCQaD9Pb2cvfuXRoaGpibm4uFqJw9e5aCgoI1ueT6R/R6PZWVlbhcLkZGRmhvb2doaIgLFy5gNBr55ptvMJlM73m1+TFTEvERmBpgsO0pT1JsGMVhwl4rHlsPjS1BxvSVlFXupGaHAfPSZ04vG6vy12S1WqmtrY3lk0ulUjZv3szXX3/Nvn371oVIFsjOzubAgQN0d3fjcDiwWq00NTWh0WhIS0vj0KFD71cLQCRGJBIhifgITvbS1wz3xX1oJWGCjh6sQ3086xIRSC6gJt5MhlmMcu2ubH/HqiuAFwgEaGpq4q9//SvPnj0jEAhQUlLCyZMnOXHiBElJSctt4pKj1+sxGo1MTk7S2dlJJBKJnSUlJCSQkZHxx+crPgtTr5/S1D7CK6uYqDiKRjbHtMeNa9KJ0+HEPuHAPR1iRh6PxpREaqIGo2x9OIhX1dAbjUZpbm7m0qVLvHz5Ep/Ph06no7Kycl2nySqVSvbs2YPVamV0dJQXL17gcrm4ffs2ZrOZzMzM94hMiAIQESuRapJJytlAUUkSGokIIiGC0y6KNjTT1z1OW9MNbiriiNcfJW6jkUT52j9PWVVCGR8f5+rVq/z8889YrVakUiklJSXLVpNrJSGVStmzZw82my1W9HtsbIyGhgY2btyIUql8d0ZnJEw0EiEk0aNIKqF4bw0nT+URS5SOhgjPvaDv7lX+v//9gvan93myvYz0NCPmBEEoK4aF85Jbt25hsViAv0cFl5eXr2uRLJCWlsaRI0cYHR1lZGSEkZER2tra+OmnnzCZTCQmJiKTyd7y7fkZJSxSIFGbMaXlkp+Wxm+fqhrzXD8vf66n+/VrBkc8jHohkrDK3afvwaq4v0gkwosXL/jpp5/o7OwE5hOxqqurOX36tJAW+ysyMjKoqqqiurqaxMREJicnqa+vp7a2ltbWViKRyHtdJxqN/iKdX+PF7ZllNixGLJcjl4nXTczXip9RwuEwg4ODPHnyhEePHuF2uzEajbHKivn5+asmEWspWKgPNjU1RX9/PzabDa/Xy40bN9DpdOh0OvLz89/wzV9kIRIjEkuRyhX8tpb+DJGhZjobW2kZFePRplGcpibVuEpG209kxQtloSbXgwcPYvuSTZs28eWXX7Jr16515Qp+XxISEigvL+f169c4HA46Ozvp6+vj4sWLZGVlYTAYfn++EoVocJawdwynu4mX9+T8LM3CQHR+dpkew9n9iGdN44xoSkjbVcmuonhydcsrlNnZWdxuN9PT06hUKkwm02eJyFjxv7JXr15x4cKF2Ol7Tk4OFRUV7NixQ2i28w5SU1P58ssvmZqawm6343A46Ovr49KlSxgMBk6cOIFOp/v7FyQyxFIZcREbc33Xuf9fTxi4rUYuihKJzIfbI5ITl1hI1tEjVNXs40COgcTlu0UARkZGuHv3Lr29vaSlpbF//35KS0sXfZWxYs9RFvYl3333HbW1tUxNTaFSqTh27Bh/+tOf2LRp0zs2pgJisRiTyYRSqcTpdGK32/F4PDgcDqRSKTk5OZhMpr/PyJEw4UiUiMqIxpxMqjkevVaHXq9DpzNgMKeTlLuNzXsPcvDwPvaXppCjFrPcUSwNDQ38z//5P7l79y7Dw8OxpeZCFPli/UaWaEYJEwlN47U7mZwKMCvVoTEaMRuVKN8ifIvFwqVLl37T+qC4uJjDhw9TXl6+qE1I1zIlJSX8+c9/xu/3c+nSJdxuNy9evOD27dtotVo2bdo0/0FtGvqyP3G4+AwVcyGCoQjhyK+28yIJYqkchUpNnFqFaoWMUTMzMzgcDhwOB3a7nY6ODhoaGqiurubYsWOUlpai0+k+eYm+RDOKg7mxJzz++Qf++t0tah/bGJdoic8xYZSLf6dWm83Go0ePOH/+PK9evQLmX/g//dM/cerUqRVXBnUlo1QqMZlM+Hw+xsbGcDqdTE1N4XA4SEpKoqCgYH7Q+SWTUa7SoNbo0On06PW//qNDp1WjVsqQS0Qr5twkEAjg9/vxer1MTEwQDAYZHx9nYmKCwcFBRkZGCAaDJCQkfFKrv6URymwnjpcX+eFvP/O/zjfQ1OxgNj6ZpC2bSDPI0f7qqUejURobG/nhhx949uwZs7OzJCYm8u233/Jv//ZvQtG3jyAuLg6dTvCT3dYAACAASURBVIdYLMZqtTI+Po7FYkEmk2E2m0lLS1u1y9iUlBQKCgrQ6/XIZLLY3sRqtdLZ2Rlr+wfzy1GZTPZRZ25LIpTo4BNeN9ziaqebZqsE7ZyX+KQU4grKyEjSkParVdRCE9Lz589jtVoxm81UV1fz5Zdfsm3bts9t6prFbDaj1WoZHh6mr6+PQCCAw+HA7/fHOhGvVoxGIzk5ORQVFZGenk4oFMJisTA7OxubaV6/fk1/fz/BYDD2LD6EJdijTOPse01Pux2voYzCA2o2Wh4Snuunp22E/pwEdunmR7Ph4WEuXLjArVu3GBsbA+bzLuRyeazVdTQ6765cLKLR6Ienza4yRCIRUqkUl8tFJBIhLi4On8+H3W7nxo0bGAwGrFZrbERezOcrEoli7ywSiSASiRbVIyUSiZBIJMjlcsLhMHK5nLi4OPR6fWxTb7PZsNlsdHR0xKIWcnNzMRqNbN68+b3KWH1moYQhPMLgwADtfRGi2aXs2plO6cAwbX12nnV20L8lg/CGZCRAe2sr//mXv9D+S6demC8c0dDQQGdnJxKJZFFfIhC73loXy4IAXC4XgUAg9vc2m43vvvuO+vp6VCoVUqn0vU/v34cFoYTDYUKhEGKxGIlEsqhiWbimSCQiEAjgdrvx+/3IZDLC4XDsc1NTU9y/f5/m5mbkcjkFBQX8+7//+0oQigcmuxgYsNFhS0C+cwN79udQllbIlOU597vb6O8vYYxkMgGX00lvTzd+vx+YfwBerxe32/15zVzn2O127Hb7cpuxqCiVytgM9uvBdWZmhpmZGWB+kBgdHX2vVcXnFcqsjdnXLQyOzzKq3MSWrCx2bU6lMGEb3Q9eY+7qxTrQT6uvjEQNaNQqEuLjmfL6gPnRXqlUotVqkUgkhEKh2N9/LAtT/8L6VSQSoVarkcvlv3uoaw2RSBS7/3A4jN/vZ2Zm5jejblxcHFqtNvYZ+LTnvTBz+Hw+pqenkcvlaLXaRZ+5FmYVqVRKKBSKCeJttkulUrZu3YrRaFx+oYQnrVjaOxh0h5lJKyIjM50ipQlpbgkZeffIedDB0PAArb1htm2WYIzXk5WVwdDoGOFwmGg0SnJyMnv37iU1NZVgMAjwSQ9YKpUik8no6enh0aNHxMXFsWfPHlJSUohEIou+B1qJyGSyWF/LhfThhWLfubm57Ny5k4SEhJhQPvZ5L+yNIpEITU1NvHr1itzcXCoqKlCr1QQCgUV71gv7FJlMhsVi4eXLl/T09Pxmmflr9u7dy7fffsvWrVvfa9n9GYUSYNo2SmdLPyM2GaF8CE2NMzbgISKexRWOoJTamRwd4NULC9VZqWRnZnLi1CkcLg+tra3A/EiRkJBAZWUlWVlZRKPR2MzyMchkMiQSCTdu3KCnp4eUlBS+/vprcnNzY+Jc60il0liwaWNjI1euXKHjl32hRCLBbDZz8OBBMjIyCIVCn/S8F5wIMzMzWK1Wdu7cyT//8z+jVquZm5v75HuRSCQoFAqCwSB2u53h4WEmJycRiUS/sVupVJKZmUlSUhI6nY7Tp09z9uzZ965H/ZmEEgHGcdr6aetxYLWqIKmPodYg1yclRJnB0TeJKxrAaRvm9atmhvZoKc3P5s//7Z9wT07hsNsZn5hgbGyMpqYmNm/eTFVVFSqV6pNmFLFYjNvtRq1WYzAYyMvLo6ysjJSUlHUhEvj7Bjs/P5+cnBx8Ph82my0WD9bQ0MD27dupqqr6pCWSSCTC7/fj8/mQyWTk5uaybds2tm3bhkQiWZSl18Jycnx8nI6ODu7cucPjx4+x2+0xIapUKrZt28bp06fZs2cPiYmJJCYmfkDhjc8llGgAvK9xjPTTZoHJgBQjNmbss7S4IoiiUSLeMCG1GiasTLY30zu6mamibDLSsvjiy3NM2GxcvnIFm81GS0sLjY2N7Ny5k+Li4k+ODl04sU1MTKSoqOgPEprWLnK5nG3btvHVV18xOTnJ5cuX8fl8NDc3U1dXR35+PqWlpZ8U/jE1NcXz58+x2+1s3bqV0tLSRQ0/mpycpK2tjaamJhobG6mvr8dmswHzXcu2b99OcXExO3bsYO/evR/dIuPzCCXkIzLQzmjfKIOidBS5OZSW5JBqUCINRhBFQZauxJSgxOMcwmrtpHdgguaZbPbHwbbSUv785z8xYbVy48YNfD4fT58+5eLFiygUik/qB+Jyuaivr6ejo4OCggK2bt26qqvcfyoikShW8mhsbIwnT57g8Xi4ffs2er0etVrNxo0bP+ra0WiUjo4O6uvrCQQC7Nixg8LCwkW1v6Ojg//xP/4HdXV12O12IpEICoUCo9FIeXk5p0+fZt++fWRkZHySQD+LUCKzbia62ugZmMRt3kvB3hrOnUgnOU5CNDS/vJFK/Pidz9HZ/0pdcx9D3UO86t3B9iIp8TI5ZWXbOXLkCDabjebmZnp6erh27Rp5eXmkp6ejVqs/yrahoSEaGxux2+188cUXFBcXr2uhwPzMsnfvXsbGxgiFQjx58oS+vj7q6urYsGEDer2elJSUD77u69evefjwISMjI5SUlFBSUrLocXoWi4UHDx4wMTEBgMlkYv/+/ezZs4ft27ezcePGRSk68hmEMsOMo5eXjZ286g8h2bydLQeqqNitR/ePzoUZFdLmOsYGXnD91StaGnbgzcoi3iDFYDRy4MABbDYbVquV4eFhWltbqa2tJSUlhYqKig9aggWDQTo6Orh27Rp2u538/HxKSkqEnJZfSEpK4vjx47FiemNjY/T29nLt2rVYYfD3qg/GfKBif38/V65c4dmzZ7HaY2lpafMepkiI8Ow0/kCYOZEKuUKORin5qEBLvV5PcXExer0ejUbD9u3zA+y+ffsW9d1+hlivcdwDDdRfeMoreyIJB77gQFUhZYY3VOqQSVE7O7EMDdE0GofKmEFNWRoJWjkikRiDwUA0GmVgYIDh4WH8fj8TExOIRCIKCgreezMWiUTo7u7m+++/5/bt2yQnJ8da1X1KROlaQiQSodfrY6f3C5t7m82GUqkkJyfnvT1E7e3tXLhwgRs3biAWizl+/DjHjx+PVdmPzrrwDr6gq7ufFpuYOYmaRIMcyUcoRSaTkZGRQXl5OYcPH6ampoatW7cu+sz1GYQyQ2B6Bo/fiDF/F2VVu9mer8Use4NQIlIUUhESTSJyUz5Fm3Ip25SMJm5+Yy2VStFqtYhEIiYmJhgdHWV6ehqv14vZbCY1NfW3WXpvsmZmJhay39jYiNls5vTp09TU1AizyT8gFovRarWoVCrGxsbo6+vD7/fj8XiQSCSkp6e/85ktVKm8cOECDQ0NqNVqjh49ypEjR8jKyoqdV0R9Fpwvr/GgsY174wYkhmRKMtTIPyKqRafTkZeXx8aNGykqKiIpKemzDH6fYellRpd5kJr/XsH+qAyZWo1C8Za8arECUdYBNiftJmdOhFimQKP+7U0mJiZy4sQJLBZLrFjC8PAwV65cIT4+nrNnz/5uSRAMBgkEAni9XlpbW7l8+TJNTU3k5uby7bffsnfv3n8YcSJEggGCwQDBYJhQJMp8zpIYsVSGVK5AIZciWwdVFEwmE/v27aO3t5eBgQF6e3vp6enhhx9+iLlV9Xo9MN8OMBAIEAgEsNvtPHv2jPr6erq6ukhOTubUqVMcO3bsdy0oosFpZq29DPdYaFVtIaU4TPQjt4lisXhJuhZ8BqFIkcg1aN7XdqkKuUZF/FvaB4hEoli9qqGhIW7dusXo6CiNjY1kZ2ezefNmSkpKYp93OBx0dHTQ0tJCT08PAwMDBAIBtm/fztGjR9m/f3/sRS8QDbpwtD+h9elTXg7YGXDO4Q9ECUvUaJIKyCjZxY6yYsrydRjX+L5fJBKRlJTE6dOncbvd/OUvf2FiYoLOzk4uX75MfHw8e/bsQafT0d/fT0tLC729vVgsllgm6tatW9m/fz8VFRVvXh5HwkQC0/inffgIEUTOSs9XXfHFJRYoLi7mq6++wul0YrVacblcPH36lMzMTLxeLzqdDpfLxevXr+nt7aW7uxuLxYJEImHv3r18/fXXbN++/Y0erkjQw2R/Cx2P7/K438fgjBwREcSiKCj6aO21Y3PPIVbuYGe6Bo1k7VdGXGjtNzQ0xPXr1/F4PDx9+hSpVIrD4SAlJYW+vj7a2toYGRkhEAiQkpJCWVkZhw4dYtu2bW8f6UViRFIFCqUcuWSWOUcf/d0WmPXjmROBXIsmIRGTyYhRtTJ+pCvBhvdCp9NRVlbG3r176evro7Ozk+7ubv7yl7/Q0NCAUqlkamqKSCRCUlISeXl5Mf95QUEBBQUFb3EDR4giBmUS8XkV7NyYTGVqDmnaIKrAAIOvmnl4/yFtt8Oo0jNRGzSU6VfRg/sEFganmZkZamtrcblcPHr0CJvNRnp6OlqtFrPZzNatW0lLSyMlJYXU1FQyMjLevRwSiUAkRioJEZ0ZYbT5Ojde9zM4YKFlAiL6bHLKj1BZXcXBEhPZH3cSsKisqvedmJjIwYMHmZiYiLU46Orqore3l+zsbPLz8yksLGTjxo1s3bqVTZs2vYdnTIRIFo+5uIo92ZVU6E1oTUY0TBGdaudVcIKh+icM96to6XVQsjWXUv0fXHKNoNVqqaqqYnJykuHhYTo6OnC73TQ1NTE7O8u5c+eoqqpiw4YN765r/I+IxPN/Zl3MTvQwOGfClDhLSKxELrYzbXlG8+0QTq8MiXgvmh1mjCKWteLLqhKKWCxmy5YtuFwu2trasFqtwPwJcHZ2Nv/yL//Cnj170Gg0qNXq98yNFiGRqdEnpxDn9zLtGsfe2k6HaxKvz8Fwn4ep0BwiyRwz03PM+CAaZe2vvX7BbDaze/fumAesp6cHmO9utmHDBrZs2fJBMVMAIkSIRBCenibgmSGYmU9a9W52FiWTONvBZHMtP17spenOdeqTDWRsPECZFt7t3/y8rCqhwHwU6I4dO/jiiy9i6+ZIJILf70csFpOSkvLhoQpRDzPDL2hvfErDq0G6bX7mZHIUcQrm7FYcMyGCShHRcJRIiDfU5F3b5Ofnc+bMGcbGxhgeHmZ2dhabzUZTUxNFRUUfLBSiEYhGiEg1yE2F5Gwup3J/JTuyFGjJgMw5JjqHGLzRzHDXLtrG9pOfK0K3jI2LVmwBvHcRFxdHUlISgUCA3t5epqen8fl8BAIBNBoNmZmZ7x/IF/YSmHhG0+XvOf/dda632BkKqlDp9Bjj44kTzxJ2jDEtMSEvOEDxpiy2JME66Z8DzIe4mM1mZmdnGR8fZ3x8HKfTycDAQCyldiHZ632I+MZxdT7k5UiIIVMNuysr+GZ3PHoxgBx0IqYH2rD1DWBTFaDK2UVRsgTzMrrGVt2MskBmZiaVlZV0dXVx584dLBYL9fX1JCYmkp+f//6BfL5+vB0PePSwmyf2VBIqq9l7cDOlCVoMWjURayMt3g7CoxE8hAlH19fSawGVSkVNTQ1TU1O4XC46Ojqw2WzcunWLtLQ0zpw5Q2Zm5oddVCxFJFMiV8hRxjYgYhDFo9VpiNcEITSNxzNHMLi8ffBWrVAANm7cyJkzZ7BarVgsFiYmJqivrycnJwe1Wv1+NcBmxpge6KCjf45xXRUHz/0L//1IErGt6cgorhsypMMRopEo6yRl5Y2kp6dz4sQJhoeH8Xg8jI6O0tbWxsWLF0lLSyMhIeHDglWjYaLhIKFgkEAIlL/+NUbn9zEQRbQCFrur+qzZZDJRWVlJRUVFrF12V1cX3333HXV1dW9NA/0tYpDIkMhkSEVRooFpYnl30VEsfd30W5xYfBFmwyLEonU3mfyGrKwszp07x8mTJ0lISGBubo6Wlhbq6up49epVLKX4gxCJEMVmlAjgYXp6lqkZOWKZBq1OgWyZh/RVPaOIxWKSk5M5duwY4+Pj/PDDDzidTp4/f87NmzcpKChgy5Yt7x7lNBlocksozp3gdcsDnn0/Q6AjlSyFGLHYh629iba2EcaierSBCMHw+tvM/xqZTEZpaSl2uz2WDWmz2bh79y4Gg4HU1NT3bOwUJRqdr5AvU6rRxEafADi6GBmw0uMyIt5qJjtDjm6ZY1dX5Wb+H0lOTkapVDI6Osrg4CChUIi5uTnEYjEZGRkkJr6jOYFcjTROhnTGhn+8h4GBIbo6+xga6KfP6md8CqTiCMbMDSRt2c/WDekUm1g3nabehFwuR6FQEA6HsdvtjI2NxVJvk5KSyMjIeKdrPjo9zmR7Pc+6xmmdTkKfYCQvTUJ0xovX8oL+hzepvW+hPVxMQVUlh6pyyIljWcNcVvWMsoBEIqG0tJTTp0/HCuYNDAxw9+7dWJlNg8Hw5i+L1MjMmyk+LEaetJHCXjsjHkBtQJuYRoI+DqPIi1yTgCw1l6yU9eXxehsL+xWLxUJPT0/sbOu//uu/UKvVnDlz5h2eRzHRSBi8g7hHrnJ7qo9wm4EEeQC/axTbkBWLpJjEA0ep3FNEiQbeLxPm87EmZhSYb8lmMBjw+/28fv0al8uF1+uN9QlJT09/+4sTKVHGZ5K6aQubi4vZsrWMrTv2Ur5rG+VbCtlYVEJBfh65SWoSVCAWhIJEIsFkMsXyV0ZGRpienmZ4eBiZTEZmZibx8fFvrkUQnmVuyol3LkJArkYWCRCZsuNyTjBum8MtzSaz/AiHTlVTvTmRNPnyb6bXxIwC8y8uJyeHPXv20NzczNTUFFNTU9y6dQuDwUB2dvZ75NorkRlSML9l8hH4PeXl5fh8PhwOB/X19QSDQR49ekRqaioKhYItW7b87jtidRKm8n/iSMERSn1hfF43frcTl3eOGbQoTRmk52aTk2EicQXEecEamlFgXiwLVR8XTpFnZmaYmprCYDCQkpLy9iWYwEehVCpjh7/j4+M4HA6cTicej4fk5GSys7N/n0IsliFVG9GZ0khOTSczJ5+8DXnk5m5iQ8k2thZlkG3SoJOLlr2j1wJrSigw31Y7KSmJyclJurq68Pl8eDwevF4vCQkJFBYWrsvSRJ8TlUoVS9seHByMLXuVSiVGo/H9sg5FcmQKBQqZaNmXWW9izQlFJBKh0WiIi4tjZmaG8fHxWIcpvV5PVlYWRqNREMsiIhKJMBqNyOVyxsfHsVqtuN3uWNpDXl7eR1VxWUmsOaEskJCQgFarZWxsjKGhIfx+P5FIBIlEQkZGxocH8gm8E7FYTFxcXCyxa2BgALfbjcfjQaPRkJ6e/ruU4NXEmhWKVCpFrVbj8Xiw2+1YrVampqZwu91kZWWRn58vzCqLjFKpJDk5GY/HE/M8ejwerFYrOp2OwsLCVVv1Zs0KBeZfXFxc3G9cxg6HA7FYTGJiImlpaZ/cLVbg7yy00FAqlfj9/lhMmM1mIxwOk5ycTGJi4kf1UFxu1rRQFirhi8ViBgYG6O/vj/X3E4vF5OXlvfvUXuCjSEhIwGQyYbVaaW9vB8Dr9cZO7nNzc5fZwg9nTQsF5l3Ger0eiUSC1WpldHSU2dlZ/H4/ZrOZ5OTk31VlEfg0JBJJbABaKKbncrmYnJwkISGBrKysWJfi1cKaFwrMJ3olJyfHUll9Ph+zs7MEAgESEhLIzs5ektpQ6wmJRBI7mR8eHo7tERfOutLS0j64M+9ysi6EAsTaoS10w7XZbDidTvR6PXl5eZhMpjXf8HSpWag66XK5mJiYwOVy4XK5Yi27s7OzV82ssm6EAsSKTgwPDzMwMMD09DSBQACFQrHq3Zcrlbi4OFQqFW63m76+PjweD06nE4lEQnJyMikpKatigFpXQllonOpwOBgZGcHpdMY8YampqWzatGndt4BYbBby7QOBAAMDA4yNjeH3+xkdHUWhUJCfn78qBqh1JZR/PLXv7++P+fllMhlJSUmYzWZhv7LIyOVy9Ho9IpEIi8WCzWaLdQk2GAy/qWe8UllXQoG/19aVy+UMDQ0xPDxMKBTC4/EAkJ2dTWJi4qpYDqwm9Ho9ycnJTE1N0dnZyezsLB6Ph+npaUwmE/n5+Sv6TGvdCQXmz1cWRrjJyUmGhobweDyEQiHS09NJTU1Fo3lL1XCBj2IhHkyhUDA9PR2rH+10OtHpdKSlpREfH79ixbIuhQLzEa9mszl2au/1epmZmSESicR8/Sv1pa1m4uPjiYuLw2KxMDo6is/nIxgMxtK2V2oM3roVikgkQqvVEg6HY52lFuoZKxQKCgsLMZvNy23mmkOhUKBWq2Nu+omJCdxuN263m/T0dHJycha1a/BisW6FAn+PTVKpVIyMjNDf3x/rMLVwKCYkei0+cXFxaLVa/H4/fX19Mc/j3Nwc8fHxZGVl/SZgNRqNxsq42mw2otHoe/eTXCzWtVBg/qWZTCYcDge9vb0xP//U1BRms5mNGzcKS7BFZqGOgVgsjqVBzM3NMTQ0BBDrF7lwGDkzM0NXVxcPHjzg1atXwHzlnaWM/l73QllwGWs0GmZmZhgeHmZ6ehqHw4FGoyE1NZX4+HjBZbzIiMXzzWzj4uKwWq0MDg4SDofxeDwoFAqSkpJISkoCYGJigkuXLvHdd9/R0tKCQqEgMzMzFsO3FKx7oSyQlJREXFwco6OjscDJQCCASCQiOztb2K98BlQqFWlpaQQCAQYHB2N1jd1uNwaDgaKiIhQKBePj45w/f56rV69isVhi7uTU1NQlG8AEofzCQoZeIBBgcnKSsbExpqammJmZicUlrcRN5mpHpVKh0WiIRCKx4hQulwulUhnr3uXxeGhoaODly5cAsSiKrKysJdurCEL5FUqlEp1Ox/T0NL29vbhcrljet8lkIjMzUwhx+QwYjUZ0Oh0TExMMDw/j8/nw+/2Ew2EKCgpQKBT09PTQ1dVFMBiM7R3z8vKWLAJZEMqvEIvFGI1GwuEwY2NjvynqJpVKyc/Px2w2C6f2i8xCzlAoFMLlcmGxWGJlj8xmMxqNhvHxcfr7+3G5XKhUKgoLC9m0adOSxYkJQvkHxGIxOp0OmUyGxWJheHiYQCDAzMwMBoOB5OTkVRHEt9qQy+UkJSURDAbp7e3FbrfjcrmYnp4mFAohEolwu92MjY3FKrts2bJlyfaOglDegFqtjhVJ6Onpwev1Mj09zfT0NGazmYKCAqEwxSIwNzeH2+3G5XIRCATQarXo9Xp8Pl9sjzg6Oorb7UYsFuP1ehkdHSUYDJKTk8OOHTtITk5eElsFobwFjUaDSqVidnaWiYkJnE4nTqcTg8EQq6srnK98Gn19fVy6dInr168zODiIVColMzOTjIwMfD4fPT09zM7OxmLCbDYbHo+HaDRKZmYm5eXlpKenL4mtwpt+B8XFxZw7d46RkRFsNhter5cnT56QkpKCTqcjPz9/uU1ctUSjUbq6uvjP//xPOjs7yc7OpqOjg3379mE2m0lKSiI7O5v+/n58Ph/Dw8O/+f5CjNhSIQjlHcTFxVFcXMy+ffsYHR2lubmZzs5OLl68SE5ODunp6au2TtVyE4lEYqWMvF4vHR0djI2N8fjxYxITE9HpdJjNZqampvD5fL/5bjgcXnKhCEuvPyAuLi7mMu7p6YkV1ItGo5jNZlJTU4X9ykcyMzMTa3u+UILVbrfH6hdHo1G8Xu/vhALzJZEOHTpEXl7ektgqCOUPEIvFmM1mJBIJw8PDDA0NEQwGsdlsiEQiwWX8kYhEolg6g8lkQqFQEIlECIVCwLyIrFbrG0UC8+H61dXVFBYWLom9glDeg4WkI5lMhsPhiNUyDofDsZiklZ7KuhKRyWQkJiaSkpJCYWEh27ZtY8OGDeh0ulh/m7dhMBioqKhg48aNS3IILAjlPVGpVCQlJcVO7RfcxXNzc5jNZnJycoQl2EewkG2amZnJ5s2bKSwsjA08BoMBrVaLTCbD5/MR/VXvcqVSSWFhIdnZ2Wi12s9e9kgQygeg0WiIRqP4fD6sVmssP0Kj0VBQUCCUZ10EtFotycnJFBUVsXv3bkpKSoiLi8Pj8eBwOGKfk8lkZGRkxELyP7erXhDKB7JwvjI4OEhfXx+zs7NMT08LtcEWEYVCgdFoJDU1NVacMCkpidTUVLRaLT6fD6VSxa5du9i1ezfmxP+/vTt7bupM8zj+PceyrAXb2mXZRsYGbwLs4OoGTLqxG0i6cYpAUpVczPVU/1VdlaqZmvRNZoCQmU4DYVyAaexpSAEx4EWyZXmTF8mLFkuWjuYiQZ10KlUyXiTD86nylbdXLv38nPOcd3FJRSk1RqMRq9VKJBJhamqKSCSSn5fkdrtpb2+XB5E7SKfT4fF46OjooKurC7fbTTabpbaujot9F+k+3U35Hvy9JShb9Gqh16uWsd/vJ5FIsLS0lN+wQvYG21mqqqLX67HZbHg8HurrD3LixDt0dnZgtVrRslmyWQ1NUUGB3eg/yr++19TZ2cnly5cJBAL09/ezvr7Ow4cPcblcuFwujh07VuwhvpGcTifnzv0O0hEWAmM8uv2IhXiORBZUtQxVp0dvMGIyV3Kg0kq13Y7TUUX1NvssEpRtOH78OFeuXCGZTPLNN98wNTXF/fv3OXHiRH7XSbE7cokgo7f+ja/++pC/rxlZVw2Y1SxqdpNUVgGji+q6oxz9VTe/7T3Jr9rt1GyjiyyXXttgMBiw2WzEYjHGxsZYWVnJb/ztcDhobGyUhV67Is3q1CCP/+vfuX3/BU8yXvTuQzR7DmAxGzCWA+kYsXCQ8PQ0k8tZ4mVWLHYz1gr1tS7NpKJsg6qqeL1eTp06xbNnz4jH4ywvL3Pz5k0cDgeHDx/G5/PJU/tdkNM0UFQMHh+NJ/+V31/8Df9yLEd5TkNLRYgGhxl9eIuBwWcM/HeU6cVNFGMfplM11L7GfYwEZZtUVaWjo4OPPvqI+fl5+vv7icfj9Pf309jYiF6vp7m5udjDfCOpOh36SivW+jYO+w7RfOjVZw7DES9NngPYbeWs/ccjnv7fX/jflibcbifvHyzDvMV3vgRlBzidTnp7exkfHycQbfT+9gAACe5JREFUCBAKhfD7/Vy7du2HLk39vjzgs7Qp339kM2Q3YiTWIcOP3tA6N9aOP/Bbq4FUKETmm5e8ePwdf2s+xq9ddsy6rdWU/XHc0T7gcrm4ePEiH3/8MXV1dWiaxrNnzxgYGODJkyfE4/FiD/ENlSOX09A0yOb++XMHMLp9HPd5aXZniM9NEgjMEElltvxbpKLsoFddsGAwyOrq6k9axlarldbW1mIP8e2jVeL0eKivqaT8RZTVxTDRzRY0yrdUJaSi7CCdTkdrayvnzp2js7OTsrIyRkZG+PrrrxkcHGR9fb3YQ3z7KCp6fQUGfTllmQyZdIq0lkPb4o+RoOwwh8PB+fPn6enpwel0srm5yfPnz7l69Sr37t0jlUoVe4hvGQUtmyGTzaCpKqpOR7mibLnrJUHZYTqdjra2Nnp7ezl9+jQGg4GNjQ1u3brF1atXGRkZyS9OEnsgF2d5cYlwJEnGbKHa7sBSXsZWn25JUHaBoih0dXXx6aefcvLkSQDi8TgPHz7kzp07TE5OFnmEb4scJIP4x4P4Z7PoHV7qGr3YDFu/NZeb+V1is9l47733CIVCTE1NMTMzw+TkJDdu3MDpdFJXVyct452g6iirMGOshIofX09tRlmdfcrY0P9w428LvEwf5nDHUU61u7BUbP0BsFSUXeRwOOjp6eHSpUvU19cTi8UYGhpiYGBALsG27fu2cC67SSadJJWALAAaWizE3PMBHn75Z/7zz7e5Fawm3XKe35xp491GhQOvUR6kouyy9vZ2PvjgAyYmJvJnFt69exe3201lZeWe7SLy5tHIbMRZnQjwMv0nvpgfYM4LOkVDS64RW1lgPjjNYtyD+/Tv+PXv3+N8Rw2HjK83DV+Cssuqqqro6Oigp6eHqakpnj59yvDwcH6eWE1NDWazudjD3GcUdEYLVbWNuCwRKubu8SL8dyb1P0y1LzdhtLiw13XR+u4pus+e5OTxOhoOlL32WhUJyh5wu9309fWxsLCQ36n9xYsXfPXVV7jdbnp6eiQsW1JGha2NYx/8EX3zFGdWEqxuZElrgPJDUKod2DxNHDrSTOthO+5trqOToOwBVVXx+Xz09fUxMjJCf38/a2trDAwM4HQ6OXjwID6fT6bkF0xFX9lA47sNNL67N79R1qPsoaqqKioqKohEIvj9fuLxOLlcjpqaGmpqaqiqqir2EMUvkIqyh17tbjg7O8vo6CjBYJBAIMD169ex2+04nU45/q5ESUXZYwcOHCCTybC2tkY4HGZxcZHp6WnMZjNNTU24XC5Z6FWCpKLsMUVROHbsGJcvX84/iEwmk9y+fRuPx4PRaJSFXiVIKkoRmEwmrFYrq6urBINBIpEI0WiUaDSa34e3vLxcKksJkaAUidlsxmKxkE6nmZiYIBaLsbKygtlszu8NJvcrpUOCUkQul4uKigpmZmbyRxwkEomfHCchSoMEpcgMBgO5XI5IJJJfGZlOp6mrq8Pr9crEyRIhQSkyo9GIzWZjZWWFkZERVldXWVtbI5FI4HQ6aWpqkgeRJUCCUmSqqmK1WslmsywuLjIzM8Pa2hrBYJCKigqampqw2+0SliKToJSI6upqTCYTU1NTTE5Oks1mSSaTmEwm3G43Doej2EN8q8lzlBJhs9no7e3F7/cTDAYJhUJMTExw48YNamtraWhokPuVIpKKUkJMJhMmk4lsNsvMzAxLS0tEo9H8oTp2u12OvysSqSglpr29nb6+PsbHx1lcXCQWi3H//n0cDgc2m02e2heJBKXEGAwG2traOHfuHPPz8wwODvL8+XN0Oh1HjhzB7XbLLOMikEuvEmQymbDb7ayurvLy5UsSiQTRaJRUKoXVaqWhoUEuwfaYBKUEqaqabwnPz88zMzNDIpFgfn4enU5Hc3MzNpvtZy3jXC6HpmnkcrldP/zzbSNBKWFWqxWj0cjCwgJ+v590Oo2madhsNlwuFzab7Sdfv7y8TCgUIhKJAN8fMS3PX3aGBKWEGQwG3G43sVgMv99PLBZjfX2d9fV1PB4Pzc3N+ROIY7EYDx484Msvv+Tx48fE4/H8Ti9i+yQoJc5oNKIoCqlUitnZWRYWFpibm6O6uppDhw7hdrtRFIWlpSWuX7/OZ599xtDQEOl0mnfeeQePx1Psl/BGkK5XiVMUJb8xxdjYGMFgkI2NDe7cuYPT6aSqqoqmpiYAVlZWmJubA8ivyRc7Q+749oHq6mpOnDjBhQsXOH78OABjY2Ncu3aN/v5+YrEYer0eh8ORbx0rioKmbfVwA/FLpKLsEy6Xi0uXLrG8vMz8/DyLi4uMj49z8+ZNvF4vPp8Pq9WabxvncjnS6XSRR/3mkKDsE4qi0NLSwocffsjo6Cj9/f0sLy/z4MEDGhsb8+3kXO4f57NtbGygaZq0ineA/AX3gR+/+VtbW/nkk084c+YMqqoyOzvL0NAQjx8/ZmZmJr/xt6ZpJBIJqSo7RCpKCUun08zOzjI8PEwkEqG+vp6uri7ef/99VlZWCAQCvHz5kuHhYa5evUo8HmdjYwP4R1A2NjYwGAxFfiX7nwSlhEUiEQYGBvjiiy+YnJzk6NGjRKNRmpubcblcdHR0EIlECIfD3LlzB0VR8hUkm80Sj8dJJpNYLJYiv5L9T4JSwhYWFnj06BGDg4PMzc0xPT1NKBSioaGB2tpaLBYLTqeTubk5ksnkT753c3OTeDxOIpGQ+5QdIEEpYeXl5bhcLlpaWkilUiwtLXH37l3g+3uVhoYGUqkUqqr+rBW8ubmZv/T68T2OeD0SlBLm9Xq5cuUKHo+HmzdvcvfuXaanpwGYmJhgYWEh39n6Z+l0mvX1deLxOJqmyZyvbZKglDCz2UxbWxs2mw2Px0NnZydjY2NMTEzw3XffEQ6Hf/F7k8kk4XCY5eVlMpmMTMvfJpnrtQ+YzWYOHjxIV1cXnZ2d1NbWUlZWlp9NrKrqz86DzOVy6HQ6vF4vR48elc7XNklF2Sf0ej16vT6/FsXr9XLhwgUCgQBPnjxhaGiIYDCY//pUKpVvHb9qGYvXJ0HZh+x2O93d3XR3dxMOhxkcHMTr9fLtt9/i9/sJhUL55ygy32tnSFD2ObfbzdmzZ2lra2N6epp79+7x+eefMzo6is/no7OzU7Y52gESlDeAxWLBYrHQ0tJCXV0dRqORQCCAz+fj7NmzmEymYg9x31Ny0mR/o2SzWdbW1kin0xgMBkwmk3S8doAERYgCyLwGIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiABIUIQogQRGiAP8Pe1UZS88VX2MAAAAASUVORK5CYII=)
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,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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 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°.