Maths-
General
Easy
Question
In the figure below, CF and DG are the bisectors of
BCD and
BDC respectively then
GFC is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJoAAACXCAYAAADtYULJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABclSURBVHhe7Z33U1Vblsff/zA180P/0lXzQ091dU/P63rT3TPvPfWZs5hQMWdRFCMiKEgUDGBAVBBEkAwCEiWDJDNBJCjCJSeBS5IkfOeszXEMbUC499xzLvtTdet51r2+Krlf9l577RV+AIcjAVxoHEngQuNIAhcaRxK40DiSwIXGkQQuNI4kcKFxJIELjSMJXGgcSeBC40gCFxpHErjQOJLAhcaRBC40jiRwoekjg/V4mv4Qqu4BjIgmXcOFpof05vvCzMgITin1GBRtuoYLTe/oxSN/H4R5mWLHqbtofCOPNY0LTd94nQava1F4mB2Ak1vMEa3qFd/QLVxoekZToicuenrB3/8WLh/egGPBrzAkvqdLuNAUTE1NDTLS09DR0cGe+1ofwu2YPWKLm9lz9Z3DWGRoh0xVN3vWJVxoCqWzsxNHDx+EifFO1NXVMdvrgkCccbiApGI1e1ZlXoWV6XH45tayZ13ChaZA+vv7cMb5FFYtN8Dz4meiVd5woSmMkZER3LzhBYOF85CXmyNa5Q8XmsKIjYnG4vlzEB8bI1qUAReagniQlyesZPPhe8NbtCgHLjSF8PJFOVavXI6zzk54+/ataFUOXGgKoLGhATu2bMLRI4fQ3a37UMV44EKTORTGMDt0ADu2bkZLS4toVR5caDKmv78fzqccsEbYMqtVKtGqTLjQZMrwyAh8vK5j6cIFKCzIF63KhQtNKgThUAyMXsNvhwSHflh84/NQGGPR3NnISEsVLcqGC00ihroaUJAUjOCgUERGRSE6Oh45RSp0Dv6z4O7n5mLxvDkIDw0RLcqHC00iRoY7kOfjhONHLyBb3YvOmmx4WB6Fa1Au2sTPEOVlZTBcZoBr7pcxPPz1VU9JcKFJxgCKbrvD9qgLctRqtDeVItj6IBw8E1Ej6onCGKtXLIO1pQX6+vpGjXoCF5pkDKEkxg1mG7bBVdgS/VzMsWevDYLy6llef3dXJ0z3GGPViqWICA9lvpymGJZBfJcLTTIG8TzqOs7YeaGMPXcj+6IpLFxCkd/eBycbS2zdtB4vhK3z0vnzaHv9mn2KMTKEvp5eDHywk470q9FYXYOW7o+rAoY6W1Bf24AuJq5hdDdWoLziFZq6dLsNc6FJxVAbMtwtYLLdGnGVVVBVlCLX6wTsLoZhh/VVbDB8n/Jz/do1qMS42chQD15lRuLW9UA8Hk0zQ197DZ4KB4ubVy/gslckHlV2sCza/oanSI4IQqD/LdxOeoq6tkZkhfsj52k0IhJrdVoRxYUmESO9NUi/4Qhb6zPwi45DYtQt2Nq6YpPJCaxZuxo5WffY5+gAEBYSJKxs5aPPfU245+mIw7sO4Q5LnB1BQ1EWEmIzUdtVh3ALY5xwj0fTSCdSHM1wLuIJXgv2GPuDcInLQ0xoGJ7kxyIsphy63EG50HQErS5Wxy3www8/CFuly6hRgHyza1cuo6GhXrQAvVX58LM5hjtN9DSM/oF+9KvbUf3kLtxsHHAzqQxdPSmwNnVCfGEr+ztNUebY6ZyEZzkZePg0BwUq3R4uuNB0RFCgP/7x04/48U9/xHGLo2hvb2f29vY2uLtdQmenuE8KdL54CJ+T74QmMtCAJ3euwd7aGcE59eiqCcMR80vILutkb3ck22Gz9R2oB9ijzuFC0wE52ffwlz/+AUcOmAp/zsKyxQuRkZYmrGbDuOHlKdiyMTj43sl/oypCgIMV4kl7w21QvSxFRfOox9WT4ABzBy88eHEPLkdOIaF4VLB1gaYwvpCFjn72qHO40CSmtOQ5/vbXvwjiWoCmpkZmM9m1A/v37oGfzw0EBwWi/4MY2vBAG56EnMdeg4VwTCyHeqgVjyLc4HzaF5l5mYg8ewQnr8TgVVc78m84wOlqIFJSo+FudQJBT1owqMsTwAdwoUlIa2sLtm/eiPmzZ0JVVSVagdSUZPz6j7+x24APVzJiZLATrx6mIC48HBn5KnQLwumtf477KQlITU9GfHwmSupGt0u0lyEvNRGJCXFIyatAt4zyI7nQJIIi/U6O9jAyXAGV6r3ICHqPUoG8rl8TTp1jV8fI0Oc/K8ebKy40ifDz9WH5/gVPn4qWj/H18WblczU11aJFv+BCkwDaGhfNn8NSf74EnToXzJmJ0OAg0aJfcKFpmWfPnmHVMgNcvXL5m/eXp50csWvblv8PdegTXGhapL6+DtsE59/K0oKlZX+LipcvMWPqL7iXmSFa9AcuNC3R1dWF48fMsXPrFqjV74Ov3+LIgf2wMDfDmzdvRIt+wIWmBaju8or7ZaxctgRVla9E69igAO7MqVNQWloiWvQDLjQtEH0nkuX738/LFS1jh+JoG9cawfXsGZ5hy/kyDx/cx+L5c3E7LFS0fD8R4WFYKAi1uenDy01lw4WmQaj2cvXKZTjvcm5CbQvo1GmwYB7LK9MXuNA0BFWUm+zaCbND+9HT0yNaxwdtmVcvu7FbhN5eefSgnShcaBpgaGgIDrY22LTO6KM8solQ8eIFZk2bgsz0NNGibLjQNICvzw0sXTgfhfmaqygfHBjAyROW2Gu8S7QoGy60CZKanCQ47rOQEB8nWjQHdXScMeUXllqkdLjQJkDxsyIsXTQf1z2uaaVnWVd3N4x3bIOttZVoUS5caOOkvq5O8MnWsu2tt3dizv+XoLvR6KhIzJnxG5oUHurgQhsHPT29MDt8CMbbt2m9Zxndl64xXA4vTw/Roky40MbBBVcX1rqA+mRom7dvh4St+SqWLV6k6FAHF9p3EhYaAgPBL8tMTxct2ocKiylpMi5GWZ24P4QL7TvIvpfJvvCAW76iRRoGBgZgb2ON7Vs2ihblwYU2RsrKSrFutSHOOJ1iX7zUUI7awnmz8ejRA9GiLLjQxkBLSzNM9+7Gof37Jny9NF46OtphamIMS3Mz0aIsuNC+AWXGnrK3wwaj1WhoaBCtuoGyOhbNm8MycZUGF9pXoDjWTW8vVkleWFAgWnVHdbUKWzasw6XzrqJFOXChfYXEhASWW5YQp/nrpfFCfTlWLV8KtbCVKgkutC9QVFiA5QaL4eUhr0Dps6JCVmwcGhQoWpQBF9pnaBCrl+R4x0iV7NbHLbBr+5YxVVbJBS60T+gVTpUWZoexe+d2dHd1iVZ5kZGeyprEpCtoBgEX2geQ8+924TwMly1B9Sf9MeQE/QJQNu/xY0e1kjWiDbjQPiAiPJwVhYyneklqQgQfbcXSxSh5Xixa5A0XmsiD+3ks8q6UaSXNzU1Yb7QKly68b0sqZ7jQBGibpE4+lJXxrf4YcuKiyzlWp0CDMOTOpBdap1oN4+1bYX7kkOLScOiGgILJIUHy70A0qYVGixeFMLZsWI+GOs1UL0mNuXBC3r/XBOqODtEiTya10Lyve2L5kkUoyP98czwlkJOVhSUL5iJD5mV5k1ZodxPisXj+HCTExYoWZUJleTRv3f6k1UdNluXGpBRa/tMno9dLnh6KiUN9DerzsVL49zwrKhIt8mPSCY2qlzZvWAc7m5OKusL5Gr1v3mDl0iW46n5ZtMiPSSW0PuELMTu4H3uNd348PU4PuHL5EvsFqqmuES3yYtIIjbZIl3OnsW71SpSXlYpW/aGuthbzZ89AVGSEaJEXk0JoFIQNDPDH0sULJK1ekhrK6qAJLHJstjwphEbZDksXLWD3g/pM/tOnmDN9GvJyckSLfNB7oZWVlmCtsF1Sc7zJwK7tW2FrfUJ2Bx29FtprweEnx9/s4AG9OWF+i6SkRDYYo7xc+1X034PeCo3mK9nbnMSm9WvR1Dg6RW4y0N/fx7qBe167Iqtmy3opNHL+6XqJ/DLK/Z9s+PnexAqDxWhqlk8HIr0UWmJCPEtgTE68K1omF83NzazVVfSdKNmkPemd0IoKC1lzPB9vL9EyOaHWDVs3bZDNBBa9Ehr5YpQISL6ZPg2DGA902p4+5ReWOSwH9EZobwTn3+zwAezZuR1dneJE3kkM3YRQr5BjZodZ3p2u0RuhUZzMcMVSVFVWihZOdlYmm5ZXUaH7Xh16IbSwkGDW/OR+njy2CblAK/um9Ua46Kr7YLXihXY/L4dN9428fVu0cN5BJ06q6qLL9vb2NtH6Kf1oLM5ETFAgotNz8KyyHQOD4lsaRNFCUwnbpOEyA7i7XZz0zv+XqKurw7Ili75wz9uC3CBXOJ3zQVZZJUqSL8Hc1gePVZrvAadYoXV1dmHnti2wPHZUtq0L5AAdCtwunsfa1YbCn4dE6yiv87xha3YMN+93gL3TV4vEoAg8rmoefdYgihQa/fCsj1tix9bNqK2RZ6KfnKC2qPNmzfikV8cAHnufwFHLy3jCOqUOo7ulCoU5mcgrrETvoGZ3CMUJjfwOSlmm+7zCAs3NXtJHqNcuZRKnpiRj1m9TWeOa9wyj6JYVDh05gyxxEndvbRKcN6zFMY8UtGrYT1Oc0CJuh2HJwvlISkwQLZx3kJ9K9Z01NdWsufIZZyfmw86dNZ21rJ89fSpKit/PlRooiYDT0cNwjSxGa7sane1P4bZxB1zvFkDTkUjFCI1+gDRvnPqC+d30Ea2TFxrdSFNVqPLp+fNiNr6xtrYWd6IiYWqym22VJrt2sEMA3X1S2wSaJWpvexJv3ryryB9CbbY/XG0dcD04FklxIXAzd0RYUQ00XbOvCKF1tLfjhOUx1pWafriTEXIZuru7UVNdjccPH8Lby4NthXNmTGNFKb43vKGqqmKrGvmw9Pr0Qv1VxUvW9NnH+7poERkZFv7eyD99XpMoQmiUhTB9yq+CM6sfQ1LHy+NHj1gi5+/+9V/w+9/9Gw4f2IcnTx6L736bwcFBnLAwZwXHUiN7oVFm7Lkzp7Fe+E18/lx+cyuHul8LW1MDalVVqBRWjMrqenRqMJn37dthVrVFU+4c7GwFkWxkuWb7du9iE1yqqsZ+5UZCu+ByDuvWGGptIt+XkL3QAv39sGTBPFkWXBD9jU8Q6moHV09/RMXHI9LfDddjS9DzdmLbUFlpKW6Hh7Ewzub1a1kSJ83u9PfznVBIhwpYqBosNuaOaJEGWQvtXkY6ExmV/MuXVoQf2oGzsQXoeKtGeV4sPL2T0Nj//a0WaFpeaHAQm45Cs0AphGMibJW3fH00lixArbmsBH93j3BQoAOFVMhWaC9elLNRhdRsTt704q7tbliev4ZQPxfcSGlEa1Mresd4JfZS+HcG+t/CkYP7BUd9DWvtTrWZ/r43UfHyhfgpzZJ09y4bnvbk8SPRon1kKTQatkrbhNmhg7LJEP0yPUiwMYalyxX4njOFbXAFur+hMWqgRyEaEpSR4QqsX7NK+LceQJAguBfl5eKntAeFiujEStOTpUJ2QiNhnbQ6jo3rjNDUKP+WmUAfkmwP41pGOTp7VKio7cbAZ3bNyspXgrhusFMjdf3euHYN2yIpziXFgNlP8fW5wYK533OYmAiyEhrFgKh6yUBwfEtLSkSrvBlozMWZ1dOx7sQtlHzSnoziWn43b7LVg+oYKDeM2haQz0nOvi6h24O1q1biqrubaNEushJa4t14LJgzC+mpyhnUMNxdh5IHmXhQqBI2UeELrK5mJ0Pqi7tw3hx2YrSztsKdyAgWppBTOtNZ51Os7lXbc+EJ2QiNZhwtFRxUf19pp/tqgtcdasREhWHfzm3s6odWLkc7G8THxTJnn+JXcoQaElKumhRJo7IQGs3B3GC0Cs6O9pIeuScCtYkKCvDHrm1bMWvaFKwTHPrTpxyRkpyEylevdDKl+Huhn/VR4RBChxJtdyTXudBoou9B030w3bMbarV8O0vTqlRbWyM47wHCtrgN06f+wkIRVD9JrbCqhS1Tif09khMTWFtSSljQJjoVGl3injvtDKNVK6CS4ewlOgHXVKsQEhzIZi9RnSS18KT0m+x791jGhNKbxwwODGLrxvVsq9fbS3X6Ag0WzmOXxXKB0sIpCh8SGIB9e4wxY8rPgh+zUFi5HJGbnY3Xra2K2Ba/Bzq8GAkn0BIt3iXrTGi0IlCJXFxMtGjRHTQYnwKl5HMd2GfCEgRpIglti3k52ejsVGNIpg69JqB8Nbqo9/b00NqqphOhUWR8ucEieFy9wvKmdEFb22s8L36GAH8/wUfci7kzp7PMXTqQ5ObksLmdIyOTp7Lq3BlnYQvdgIZ67UyQkVxobW1t2LppIwtcdnVJ27qAtj2akkJBVBIXxeyWCFu3o50tW7kmS7O+z1FWVoZFc2cj9o52sjokFdob4QhtcdQM27duRr2WfnM+hcT18MED1l2IxEXZIAYLF8DexlrwubIw0K9f/tZEoIv9IwdNtVK+KJnQaO+/cvkiu18rfvZMtGoHaimaK6xQ1z2ushgRbdPLBZ/L7qS14BtmsrE2nH8mLzcHC+fNYv/VNJIJjYomFi+Yi/S0FNGiWWhLzsrMgLvbJZbDtWrFMuG1FA62NszePzB5t8WxMiz4pBvXrcFp4YSt6ZO1JEKjvCcq99J09ZJarUZmRhounndh3aiNDJezDtyn7G2RmZ6mgBQj+REVEc4SAF5qOF1J60KjNBS6nnEUvnxq5DtRerp72MhAOiVt27yRBXup+Z6zowNbLXu6u8VPcsYDHdAMBD+WUpo0GRHQqtCoSvqA4CNRVL1VcMrHS39fP7vmOX3KgYlqjbBybd+yEWdPOyEtNYVNEeZoDvdLF9nioMmsDq0JbaC/n6Wh0H3gePLdyWGnamuKa61bbYjVy5exrFuq4kkXxEW1nhztQNOYKWidEB8nWiaO1oRGefAUo6Ji17FC2QR0KqS4Fg3THy0rM8blSxeY6CjIypEGKmChincKXGsCrQjtXkYGi1dFRXw7z2loaBA5OVnMhyNhLVu0APtNTOBxxZ3dLU5ky+WMH5rPMP3XnzVWwKJxoVEKNlUvUU+uL2WTUspNXl4unBzsWb0ihT0OmJrA28sTjx4+QKsEGZ+cr0MHATrJ0wKgicTNsQltoBml95MRExmFuNhYJKfloqyhG5+eSaj9OuVqUfT/0+scmvf96P59djqkO8X5s2eyC2w63dC1UGsrF5fcSLqbIPhq01BdrRItH/C2E5WP7iI8IAQJSZkoqn6N7q/krI5NaMMDqIm2wyGrC4jIq0J1cSp8nU7g4p1CqMX/OSUw2p20ws5tW6FWj95hUqjh4YP7LAuCVq7ZM6YJ2+IeBNzyYxfaFMHnyJeuri5hd1qK6x7X8GFOx0jnCyR5n4KzZxIqG5tQGn0O9ud8kVX95cyPMW+dfWmncczxBu5VCw8j/eh4GQmb7RaIftnJ2lD63fBi10uF+fls+7x04TwLQ1CjXrpDi7gdDpVKxYaBcZRDcGAA+15JdKP0ofzuVVjusUfqa/H2oO8FUu6m4EnJlxoyf4/QMs7huNNN3Hu3io40I2S/IWyjXyDgdgym/uMndmlNwvqPf/+94HfNY5moGWmpKHlezKqDmpoaWZ8uyrenZ/6S/+tBXh7+928/IVDYhUapR5rnMRgfCcHHx7QRjAxrYEUbzHKF1ZlbyH3XnmzoJbx3b8AR71RMnz0Xf//xz5j28//g73/9C/77v/6Mn//+ExumMHfmb2wA1qzfprBn/lLWa+bUX/HTf/6JVdSPyqgNuTePY+euKyj7QFfDg/0YGPiykzY2oY0MoDnKEsaHzyL8QQMa62tRnu6OI6YXkVzWgNqGOjQ11LOkOVqx6FBA/62vq2MFHdT9hr+U+aLdh77XpqYmvEu+bckPw6ndO3A26hmqaHeqKkBqUgYKK1o+8uU+ZGxCG2rBowBbHD5qAzefUESG+ODKBQ8kPm/VeJtwjhJ4g6p7fnAyN4ezm7ugBTcEJxehdcKnTg7nc7ztg7q9A71jCLNxoXEkgQuNIwlcaBxJ4ELjSAIXGkcSuNA4ksCFxpEELjSOJHChcSSBC40jCVxoHEngQuNIAPB/urIasYVXbjAAAAAASUVORK5CYII=)
- 50°
- 60°
- 65°
- 75°
The correct answer is: 65°
Related Questions to study
maths-
In the following triangle ABC, the angles x, y, z are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOgAAAB/CAYAAADlyo6DAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABrsSURBVHhe7Z3pV1Xn2cbfv6Lpl37ph7pWP/RDu97Vd3Wttmmala5ak2bokDnGpMakDjEah0TjPGFUcAKHOCOCoiLgEKMiKiCoOCMoIsgoKIOADML1nt/DOQYVFPAM+5zzXGs9C9mbA8d99rWfe7ju+/4fWVhYOBaWoBYWDoYlqIWFgxHeBK24oPxL55Vb4f7ewsJhCGOC3tft40u1eOYMzdpRphb3UQsLJyF8CdpxQ9lH1mj8R+M1fdYOXW2TOt2nLCycgjAlqIuKpXu0Z1ecvh4xTfMmTNfmonY1uc9aWDgF4UnQjjaVH9ykxN17lLhjldYt/FqTEkpV0+w+b2HhEIQhQVvUcjNNKyfN0YqETFXWpis5aoQGv7FIuy/UyXLUwkkIS4K2lmdqZ1yqDufecn1/W4XHt2nl4lgduVZvCWrhKIRvkMjCIghgCWph4WBYgrrQ3Nysmpoatba2uo9YWDgDYU/QwsJCTZkyRYMHD1ZERIRu3cIvtbBwBsKeoImJifr5z3+uQYMG6e2339aIESO0a9cu91kLi8AirAlaW1urBQsWGHJ++OGHSkhI0MSJEw1RFy5cqMuXL7t/0sIiMAhrgu7evVv//e9/9f7772vs2LG6e/eu8UMjIyP16quvavz48dq/f78hsoVFIBC2BIWIX375pdk5ly5daghKoAh0dHQoNzdXo0aN0l//+ldFR0cbX7W9vd2ct7DwF8KSoJ2dnfrhhx80YcIErVixQmvWrDEEfTRAVFVVpbi4OL322msaOnSoDh06ZCO9Fn5FWBIUkmHaErVlZ1y5cmWPBAWkYDIzMzVr1iwNGTJE33zzjUpLS91nLSx8i7AjKGZqTk6O8TuTkpIMWT0m7pNSLDdv3tS6devMTsqKj4/X/fv33WctLHyDsCPonTt3jO/57bffqqysTHV1dYqKitK4ceP6lANNS0vT559/rvfee08zZ87UmTNn3GcsLLyPsCIoOx6758svv6yDBw+aY/iZEJSIbXV1tTn2NGDiQnICSASSiAbzeywsvI2wIijEwu9k57tx44Y5VllZ2W+CXrlyxZi7kH3SpEn629/+ZvKmBQUFNohk4VWEFUEPHz5s8psZGRkmlQLKy8tN3pOIbl8ICgF5/c6dO9XS0mJMZnzZf/3rX3rjjTe0d+9eNTY2un/awuLZEDYEZadcvny5Ro8e/ZA56iEoO6EnD/okQM5NmzY99DsgLXnTOXPm6O9//7tRI7GbWlg8K8KGoMnJyfroo490/PhxtbW1uY/+SFAE8yiJngTSLZs3b+41MMRDYMuWLSaF8+abb+q7776zu6nFMyEsCNrQ0KDp06cbE/TRXfL27dsmokvahcDRo7I+SHv27FljHm/fvr1PUdvTp0+bHRlN79SpU3XixAn3GQuL/iEsCJqSkmJ2tUWLFik9Pd2YnxUVFSouLjZpE/xPyOsJ/Fy8eFEXLlzQpUuXlJ2dbXzM2NjYfpmt+Li8hp30448/NnlT0joWFv1ByBMUc5aUCCSEkAR3MFMPHDigPXv2aMmSJfrss8/09ddfG1XRyZMntX79esXExGjjxo1m52TX9QSV+guixdOmTdNLL72kuXPn6ty5c0adZGHRF4Q8QdkxERawmwF8QnbPvLw8k3ZhtyT1goQPc5fIbH19vTF1+donMnV2Gn1vb0AMwQNh2LBhRtfLbvo0f9fCAoQ0QZH1jRkzRjNmzDDk6w5PvhKykgeFoKRM+o97ulNaqKIblaq55z7UAxBJYDIjK0QoMXLkSLObWlg8CSFLUAgBAQj+bN261X30cZSUlBjfFDP0URL3CTW5Opebpp0/nNfZi0/Po7IzY2ZDUIJIpH7YYS0sekLIEhTzFL9y3rx5D1RDPYFzEJQo78MErVZlQZr2xO5U4vYkJScmK72gTNfKylSY9b3ST2brxMVyNRYeUMax7YraeEyH0/seBMK05m9CUvzjI0eOuM9YWPyIkCQoAR1SI6+88opSU1PdR3tGkZugj5nBrfnKO7xGc6dFKGLuNI375GutSEzUttQkrY9aqc1bN7tM43hlXsrS+bwTOph2UZeu9y/4w/skUAVJifRu2LBB169fd5+1sAhRgiIYIDo7ZcpUXbt2zXWkVU11t1R+s1K3am6rprxElbVNau5wmbjFN0weFH3uQz5ofbXqXP5paUO97lw7pIRdmTq3f6liN61RRGqdGkrylDZvglamX9Ilo3voGPB0NPxg3gPie/Kn5FGtwMEChCRBidy+/vrrSks72lWz2XFF2Snf6dtZ0Vq3drnmjx2l+Ym5Kmhxkfmmawd1kYOC7IcI6trdCMy23C7RqQ3RSjhVpJLM5dq6eqXmZ7nO11zXpWWfa3bSeWU3dL3kWUBUF5UTaifE96SCeD9Pig5bhD5CjqAI3slhktssKy/vOlhxThdzMnU464SOb52ijz5eoI3pJWpkB71x3VSizJ49u4co7m1V5CUpYsoGHc2rUev1ddq8KloRaVJbxVWdWjROC/efV64X05r5+fmmBxLie8hKXtYifBFyBN23b5/JN9Jz6IHmtqFO99rqVHLloNZPmayFuy6rpLlrZ0KcAEERuj9G0LtndTnlG30046hO33D9rnu5OrA5Wgvmb9DOXVsV6dqRUy6UqdbLmxy7Keonisj/8Y9/GB8ZM9gi/BBSBOXGhmx06ntUCNBenq1D0TM0eckBXbrXqgaXb3mvsV3Xi7p2UKK9jxG0sURV51K1O6tK5caMbVV5Xo6O7oxT8sGDSj5aoKq7vqv/5OGB+ohUEWILAl7W5A0vhBRBUevQWwhR+0PSvLoCpS3/Up+9O1rzUrKVdXyn4lNOK7+iTaUlRYag8+fP70f/2075sy4bET8PnbfeekurV6+2pWxhhJAhKKqhr776yggAHpPRFSZq47yxGjp+lbbGrtV3c8Zp1tZTOufiY3kxJm5EPwnqf7C7o3j6y1/+YrTFBJSswCH0ETIEpVaT3ZOKlMfQ1qi79bWqqWtSc2ODGmpvq7axVa2uTfbatatGi8tyMkFBU1OTCRrx/4SotAslpTRQIb+F8xESBOUGpacQtZf9nU6Guch8FsxcpxPUg6KiItPVgQAS/qlVIYUugp6gkBMROjcqSpz+grQGBEUoEEwmI2J/ItWTJ0/Wv//9byO0QFdsEVoIeoLib6JpRWhA1LO/8BB08eLFQenTUTJHy5Z33nnH+N+MTrx37wllNRZBhaAmKCkHdk8addGbdiAIdoJ6QNBo+PDhpqE2Msfz58+7z1gEM4KaoHQ6oFwL/Sq9agcCXkcEl5s62KOi9F7CzEcq+Mknn5hhTwMqobNwDIKaoERu6SVEnnCgc1LorABBSWFQohbswLyllI1UDJFefGvmygz0+lgEFkFLUPKCa9euNWbdswRHmKKNiihUCOoB12Tbtm0mePbPf/7TNNS2802DD0FLUCKY1FAif3uWcQsegtKKJJQICtg18U3pFgFJEXJgMVgED4KSoDTyInJJQOTxCpT+gSATBMWXDTWCeoCvToUP1TH/+c9/TAO1x9RWFo5EUBKUxDyVHtxoz6qiwV9DkM6k7VAlqAeMp6CJGn47vimF4RbORtARFD8Kk416T28ofzwERTZHFDTUQQkeTdRo/8luiovQX/WVhf8QdAQ9deqU0aJisnkDdJCHoBRJhwNBAT476SXEHS+++KIpVr969epDM2u6g17B6IAt/I+gIyid+ljeGqNAQp8bFMKHC0E9QGjPWAtK2TB7exvrjytBQbslqf8RNARFNcRT/oMPPtCaNWvcR58d9M6FoKtWrQo7gnpAhQy5YCK9WCfdG2pjsTBOkXQWIggGQdnRFf5D0BCUmwJTFP9zoKqhnuAhKKQPV4ICAmTMohk6dKhRIUFGOiLSjhRBPkEl+iQdO3bMmLwW/kHQEJSyMAIbdEvwJroT1KYeuvLC5EtJYTERjpI22q1g4pKOsmaufxEUBEUjC4Go+SRv6U3Q4BqCokqyBO0CQSQmvA0aNEh//vOf9fzzz+vdd981HRMt/IugICj5Oswr5Gre1pSSGySaSScGS9Au8ECkw8SIESP0wgsv6LnnnjP9kKj8eRbVlkX/4XiC4hfSPYBIoy/GIjAxG4KyY1iCdgXjkFFSwsc1QX1EE3CEIRzDT7XXyX9wPEEJShC0YCKYL4ITEJRuBARF7LiFLoti9OjRpn0MLgVBuaysLONa0J8XUxeRiB3r7x84hqCYrpAFjW338jHaTHJTVFVVme+9DUvQh4EZi7+/Y8cO41Z0H91IKRtBuk8//dR8Jsgjyz3d+y18AscQFL8nISHBVKhQgE3QhhIwIog9durzEvBvIShmtCVoF/AzuS6Qsye3gpGNDDxG3MDXtLS0XlVIFs8GxxCUTnUMDGLHpNiY6OFPf/pTE0HkOJI8NKPeDhKRiCfXx9+wBO0f8FWpN6VpGWoj27TM+3AMQWn4hWLlj3/8o8m9oWgZMmSIfv3rX2vw4MFG5UJJGE9vb44/yMnJMQTlBrM5vv6BhyVNyzB1X3rpJX3xxRfmgWeVRt6DYwhKAIhdlIAEkUJmZf7kJz8xOygyNKR4mL7ff/+9V80pS9BnB1VFR48eNUElHqYUvwd7fyenwDEE7Q4E7Pg3qFkgJjWMqIiIHhLU8WYn9ezsbNO2E3/LEvTZQLcGqoLImZKeOXz4sPuMxUDhOIISoMBkYldDdkZXuri4OEMiAjl0B/AmEIqTSqB/jyXos4OHJxUyyATJXaPhxTKyGBgcR1CihuyeW7ZscR/5EZhN3s6FeghKqZUlqPdA+gU1EvEETN/9+/dbgcMA4CiC8gGSj8SkxZT1B/B5ISgpHhvc8D64vlTIQFQi9FTIWPQdjiIolSX4L4wv8Jfmk966lqC+AxF33BIevDTUJs8Naa210jc4hqB8YPiaBIa8We/5NGRkZJhkO8oZS1DfAesId2LChAkmQs+oDV+pw0IJjiEoHx5RWoI1/iSKh6CJiYmWoH4AJi5SQqK8yAX37NnjPmPRExxBUDr1Ie1DkeJvbScERRhup4L5F+itEaPg0lAMbhtq9wxHEBT1CSIEWl/6W9NJVYYlaGCAwIGhVTyY0Vyzm4Z6b+L+IuAEJYjAdGt6tAaiMoLRCBCU8YWWoIEBJW7kTV9++WXzkGY39bbmOlgRcIISECJPBkkDAepNp0yZYpLrlqCBA7spQUKKwvFPEeKHcxM3DwJOUHS2VK9QhxgIeAianJxsCRpgEKQj/41PyuhE0l+MTgxnBJSgNJ8eNmyYCbkHCunp6YagKSkptp2kQwAp0UYjFXz77bdNjtqb+utgQsAISjAIzS0lZoEc4kMVBp3qLUGdBz4b7g9y4zxE8VXDDQEjKE9JajxpTBXIp6OHoHQMtAR1HhA4kIKj/QqBJPLk4SRwCAhBPaohhAmUewUStOuAoPv27bMEdTCIUdBZ8NVXX9WCBQvMVLpwaLMSEIJSRobZQgVJoAMzzBqlkzrVFpagzga7Ka4Iwntyp1g9oV4Y7neCQkhkdTj/PAUDDQ9BDxw4YJsyBwH4jMiTMoYC8T0CF4ZqhSr8TlACQvRdpa2JE5p0UfUPQWmlYgkaPKioqDAtQEeOHGnqh4llhGKFjF8JimoIYmKiFBcXu48GFocOHTLTu9CGWoIGH5CJUuyA8J5KmVBrqO1XgtJriN0K/aVTyOAhKF8tQYMTFFvQ9I0WoNSb0hrHWwOeAw2/EpRG1FxAp+yeAEkZBMXUtc2XgxvcV+iqqTdlliwZgmAvIfQbQek1RNIZGZeTAEEJNFiChgYgJPEEJrHjm5IpoPFcsMJvBEXOhyjeCZHb7sD35MFhxxeEDjB5GfiMUo3dlKAkkwmCEX4hKMoPTFsSzE7TVPK0haAoiixBQwt37txRamqqaUJHYHLZsmVB11nQ5wT1dEtg96RBl9NA/hOCIprnvVqEHghO4pO+8847hqzkvoMFPicoRdi0taDlohN3KA9BKTuzBA1dkOJjxiwKNpoDxMTEmHlATodPCYpqiG55DOCl948T4SEonRUsQUMfCBxwtejeQHCQ+9LJZq9PCYrAmabFdIl36kVAJE/BOAluS9DwAJpr3C3qTSEqoyeJk3hzap634DOCYs7SBIoyobNnz7qPOg8egvKBWYKGDyAjeVNagL7++usmiEne1GlBTJ8RFMec8iAugJM7tVERAUHpdm4bVYUfuDeJ5CMTpB/SokWLHFVv6jOC0rKCRLHTZ3F4CErjbEvQ8AUVMUxiw+z99NNPTY8qJ8AnBKXeE8kVDcGc3oiLPJklqIUHBA2HDx9uyiGZ6I7gIZDwCUHpbUozsIDtnp33db+5QfUNDbrrekA03W1QQ32jGnvQwlMATI4W/8MS1ALQAhTdOAEkut9TSBGownCvE5ReQ4jPaZn4KDrbKlVVdlV51xrU1NIpn8XM2u+qruCE9u1K0bEr+crNOa5jh0/qcs3jf9Nj4lK2ZAkaRuhoV1trq1rb2nW/vc317xa1tv94d1CrjJmLX/riiy+aSe8lJSV+v0e8TlD0j1988UWP8z2b83coIXKiJkQdVdaNNvksZtp5T7VX07R64gxtOZGlPQe/195dB1XYbQclikfEjkgzwSwKycO1tWP4wUXExmJdOXlEaRkndTL3jLKPZuhscZOa3fyjgyDpF6L8fEUqiAAfFZI/7xOvEpSqAVQadF/DvEUL2R3t+Vu0I2qCxkRf0pXqDvnuv9mptjtFOhczSZGxqzRna6aOniiTp+NQZWWl8TVovcLuSWCAB4oT82AWPkJ7pS7FL1DUwmn6Kjpea1cn63RZs9pct0D+lTwzq4fcOOlCKmRQmlEYTtMyvvqr3tRrBOWpwpMGWR/RMHw6zEd2qPLyiq4fKk3Skfjlmpd878GTymfoaFHH1VgtmThek6KPKs/lQtxvaVFO9knjd1JeRu6T3jYEBcjVhjpBCdhhKfBwysnJMe5IOJv1rcXJips2TG99PE/Lj5TprvvjT0rabWb1PFpLiolLfIXCcO4ZHvC+lq96jaBMUabtBNFbSsqKioqMAJ32mvHxCSouLXf90D79sGWOxi2/qLzSZnUz+b0L83tdN16Hy0yZs0Jxe3JV2tak3DOntXnTJlNa5ulfgwmDiQtBQ93ExaLxpBIo/+MhFZ5dJFw3SEOJLmYmKXbhOI0fPUZjI/fpZHG9ml2nErfHm4dYb6DyCSsRk5dMhS+FOF4hKB8yDjVqDN58d/CESUjYrqSU/aovOaRzhzZoUfQPOn65Vvd8xYe2e2qpvKL8ggylpl1Usct0uVaYb9pisIN03zUYmoTPzPj9UCco0Ul6ABP44MYK3276rs+5Kke7V3znengnau8P6zR9zFzFZlWoznUqJWmnKeR/EggirVu3Tq+88oohK9ZidXW1+2w3tDWovuqGCotuuDat68q/cUsNzX2PvniFoPibJHcRJ/T2gUPgrJNdDZ1am1vY33yHDtdFufi9kvdm6lRZ1/s559o9qWZ4FJ48qD/H7gcKPCwhKH4UOyjuhw2MudHxozmH/0lqpS+gUwiie64pAdLS0tJuG0Cbas59r5QNyxW9cbM2ro/RnG/jlVFQ1ecAaR8J2unyzzrMh/lguf8/vBmeHrxBKgO4CR5d+Ha07E9J3af7rvuhs6Pd6F57+lmvrJZmNddVq+pWreqbW10PjXs64jLnICjnu/9tWjdScU/UDkvgwe8IwcVTn5zvkCFDFBERYYoYkLpxjmsSVosb8VGQP3ed47qwofT4OvfykBAuQEoGPKE7f+2117T/AB0iXRvDvRPaFrNSEcsOqbi6RrduFiojPlHHC4p1y7z66egbQVtvKj8tTsu/jVbszt1KTd6q2OQMnS29rzt1dzR/3jz94he/MCPjUGC8+eabDy0CR3/4wx/0pz/9yfz7LdfPmK+uxc/3tiiwHdB69z29P3SYhg37UEM/eM/8rsGDB5v3x3lqAlk4+88//7x++ctfGlOF73tb+Bt9XVTw9HXhD/a2EHv0tpih2dvC1ehp8bpf/epX+tnPfqbf/va35v/O3yHy/rRFUKS3RTlhb2vEiBFPXVhf/VmMDOlpYWo+adFDt7c1atSoB4t7gcX77368++KhzmIyODsof/93v/udnnvuOf3mf/9PMdErVJs+XUuXxGjmjho3kaT2O9Wqa25WX/V1fSNoe6lOJy3XuGFTtTU9UxcvpyhqZpRWbzul4uZGnTh+3IjiMZtoqcnXRxftJlBn9HRuoKu3v8V69NzSpUuNdMt87zoXuSxaMatXa+3qGK1atVrRMdFasTRSkUt+fM1AF4Jrz+rv+Sed636+p3Os7q/vvrj2kZGR+v3vf69BgwYZPxStNFFsrk1Pr+m+nvS7B3rO14uAWPf1pPPdj3OdOEbdaE+vYz36Oq6hhwNTp81QSnKSGjOmK2JelKZu675funZg1+7b+qNF/UT00cRtVEFGohaMmq4dJzJ1LnuTZk5eqMWbTytoZyDXFSr/fK5yL11T0bWrKrh6Uw9nbUMTtPygkRb+UnR0tOO10r4ErldPywP+/ZBb18PC1O2+ur9ed7OUuGy2Jn21UklHTyo7O0uZ6Tm6XFGvRu8StElXM7dr7vDPtcLlS+7YsEATJy3WyuQrQXpTt6k2J0qzJk7SF7PjlLIrTrHr1mr9gSsqbgjtxmGYqy+88ILZUdkhnFwKGAq4cyZJCZHTNW3JGn23fqM27TyhCxV3+xwk7RtBO2/rwqHNmv7pbO29UqSq6hLtmjZNCyM3K6OPTwJnoV2dFVu0ZPEaRW0tVntbnSoupmjB2Agl5hQqlOdlsYNSoEwjN8yxUJ8OFnB03ld7U61u36pQ5e1GNbfeV0f3XfYp6BtB264qM3amhr02Qgs2xWl38ibNmxyhFfEndNP9I8GFdqk63uUXb1L0ji6VU2v5RcWNHKGog6eUb46EJlDIEKWkTyxqIjty0dnoG0E77urOzTzlZp9V3rVCFRXl6/KVG7pZ3eTbfKbPAEG3dRF0exdBm8vOaP0nIxV9OFfO7/U2cDQ0NDxIrZBWeshnsnAc+uiDhhg6W9Vwap7GfzZGw6fs1LHDqdq9KUrTZm9T2tXbLo/bwsIZCFOCtqv+cpK2rVurmC37dfTgHqXu3qmUs9WqtRafhYMQngS1sAgSWIJaWDgYlqAWFg6GJaiFhYNhCWph4WBYglpYOBiWoBYWDoYlqIWFYyH9P83EPpeTK6fIAAAAAElFTkSuQmCC)
In the following triangle ABC, the angles x, y, z are
![](data:image/png;base64,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)
maths-General
maths-
In the following triangle the value of x is
![](data:image/png;base64,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)
In the following triangle the value of x is
![](data:image/png;base64,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)
maths-General
maths-
In
and
If AC = 75 cm AB = 100 cm and BD = 125 cm then AD =
![](data:image/png;base64,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)
In
and
If AC = 75 cm AB = 100 cm and BD = 125 cm then AD =
![](data:image/png;base64,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)
maths-General
maths-
In the figure
and AB = 5cm The value of DC is
![](data:image/png;base64,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)
In the figure
and AB = 5cm The value of DC is
![](data:image/png;base64,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)
maths-General
physics-
One dyne =
One dyne =
physics-General
physics-
Unit of density in CGS system =
Unit of density in CGS system =
physics-General
physics-
Length can not be measured in
Length can not be measured in
physics-General
physics-
If g = 9.8 m/s2, then it a value will be in km/h2 is
If g = 9.8 m/s2, then it a value will be in km/h2 is
physics-General
physics-
No. of dynes in 20 N is
No. of dynes in 20 N is
physics-General
physics-
1 Joule =
1 Joule =
physics-General
physics-
The value of
in SI unit is
The value of
in SI unit is
physics-General
physics-
1 Pico is
1 Pico is
physics-General
physics-
1 nano is
1 nano is
physics-General
physics-
Interference proves:
Interference proves:
physics-General
maths-
In the figure,
and area (
A D E) = area (
B C E D) The value of ![fraction numerator B D over denominator A B end fraction equals](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAB3CAYAAAC5ZircAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABemSURBVHhe7Z0HVJRnusc3995zdk+Ss5t7957ds0nOuXs3UZNN3CR3TeJqbDG2WGJFYseC2EsUo4IlsaEi1QYoXRAERLGAUsSCDekIiCCKtAGkzNAG+N/v/+2Qoq6hzAAz8/4837F8AwfhP+/3PP/3eZ73VxAIjAgheIFRIQQvMCqE4AVGhRC8wKgQghcYFULwAqNCCF5gVAjBC4wKIXiBUSEELzAqhOC7lGbpapJ+/fNPAt0jBN+VKDJQmhKJKykPEV8MqKl8gU4Rgu8ymqCKc8OFbbOweJs/dl6qwRO15pZAZwjBdxnFuOe/CpuHvIV3+i+B6YEUZNWIJV7XCMF3BY01QHkUrngsxIyBH+LNP3yO4RYeCH1Uj0rNSwS6QQi+C2iuyofqqjPO+Vlj6frVGP1+P4wZtRwbLhQhqVbzIoFOEILvAqofpeDO4R0ICPCAa2QIHBcOx7QhIzFix2UE3avTvEqgC4TgO5vmIhSkRsBj51H4nk5DjjIPOWdXwHryIHw43g7bw/JQwZf989UCLSME36lIMq6IQfpFJ2y1CYFLWDGUykKoMpxwaMEwfNx7GmbaRuGyFNbUaz5CoF2E4DuVJqgSfBDlaIFl1rawdD6Ds2EnERGyF9tmDMSAt3qjn4UL7JIbUCksSp0gBN9pMEgpRdZpD3hbrcUeZyfYex+Dl+8xHPPzwaFNc7B61Hv4eMxazHLNwT3lPz9KoF2E4DuL5hI0lFxA0BFX7NwRhKjbWSgoKUZhUTGKShQouu2DyK0jMKzvWHwy1wcn7lWgSgTyWkcIvjNorkJlViiuHJ4Ds9lLMGnDRYRnPhWlF4fjzl5J8G/+Hr9+fTQm2IQhNL0MCullQvfaQwi+M2gqQ+ktH4RsnQ7z+Sth7hCLM+kq/Bi1NEBdEIvb7suxevSn+OTT8fjK0gtuVwvwSEpgheC1hxB8Z9Bcj7qyh8hPv43ExFQk55ahqLoRP+alTWiqK0dF/l1kxF/FtSs3cD35AXIUNahp1LxEoBWE4AVGhRC8wKgQghcYFULwAqNCCF5gVAjBC4wKIfgupqmpCQUFBSgpKdH8i0CXCMF3Ic3NzUhLS8P+/fvh6+uLJ0+eaO4IdIUQfBdy+/ZtrFy5Ep999hkmT54Mb29vsdLrGCH4LqCxsRGZmZmwsrKSxT569Gh89dVXmDp1Kvz9/cVKr0OE4LuArKwsWFtby0Jfu3YtIiIicPToUYwfPx4zZ85EcHAwVCqV5tUCbSIE38lkZGRg586dGDZsGCwsLOSwhhQVFeHgwYP48ssvZdGHh4ejurpavifQHkLwnQQTVIp6z549GDVqFBYuXCiv7HRpWuD9Xbt2yaJfvHgxLl68iPp60eynTYTgO4nHjx/jwIEDGDt2LGbMmIGzZ8+isvLZKTT379+XnwBDhw7FsmXLcP36dTQ0NGjuCjqKEHwnQJ+dMTrF/vXXX8sxelVVlebus6Snp2Pjxo0YPnw4Vq1aJYc9THQFHUcIXsdUVFTAy8sLJiYmmDRpkmw91tW9ePYMwxwmtqtXr8aQIUOwZcsWJCcny2GRoGMIwesQiv3kyZOy2OnIeHp6orCwUHP3l7l58+YPoqerk5OTo7kjaC9C8DpCqVTi9OnTmDVrlhzKODs7o7S0VHO39VD08+fPl8MbJrT37t3T3BG0ByF4HVBbW4uoqCjZifniiy9gZ2cHhUKhuds26NJcu3YNc+fOlVd6vnHa8pQQ/BwheC2jVqtlgXJVptjpuHR0VWbCGhYWJj8tRo4cCQcHB5SVlWnuCtqCELwWoTBpI65Zswaff/45NmzYgLy8PM3djsFE9/z583LiS5+e+YCou2k7QvBags7K3bt3YWlpiYEDB8pJJndVtemsMAkOCgqSk2Cu9K1xfAQ/RwheS1Ds69evl8MYVkDeuXNHc0e7cLPK3d1dToS52rPYTNTdtB4heC2QnZ0NGxsbeWVnfUxSUpJOPXOWIDCkYYkCRc9QR9TdtA4h+A5SXFyMHTt2yA4K618uXbokJ666hqUKjo6OGDNmDKZPn44zZ85o7ghehBB8B3j06BHs7e1lj5z1MbQiO7ME4MGDB9i7d6+cINO2jImJEcVmv4BhCr5ZDXV9DVTVVaiSYt7KSun3Kv65AhWV1aiu++mYu/bBJg1XV1e5yIsrLCsfudnUmTBsYu6wbds2udzY3NwcN27cEMVmL8AABS/FzjVFeJwUgQgfJxx0dIbzUT/4BgQgwOcoPL2Owy/qLpJK2n9EJIXt4uIilwuwS+n48eNdFkPzicK+2HXr1slvPhabcR9A8HwMVvAPog7DY8VITJs6B1M3esDJyx/+Xofhsm87tm6ywW6PC4jIroKijafmsTyAAh83bpzslPDP5eXlmrtdB0sQ2D3FXIL7AHwTaCe8UqNRWYLSB+lIT0pEfGIaUu9m4t79LGSkpyM5Pg0Z9wtQ0tAEfXiuGGZI06RGRfxxnLccjDkLLGHm8RA38p7gSXkhHkv/fnztBMyaMhdf215BWFYtWrvWMxk9ceIEJk6cKLfj0R5k0toqmpukL6teDjcaJB1q28Ph5+WmFxNnhjfcB2C403G3qAZ1+deRErwbuzeswxLLfbBz80XQ6RPw8/LE4Z0H4RUYjWuV9ej6t/0vY7BJa23KScRaf44Fy7fCIrgO2TUtN9KRF7Ic6yeNwKejdmDLySxwL/SX1kIK6tSpU3K8zk0fOiR0SlpLc8VjKO6cR8yFSJxLKMRDHZzHyk2o2NhYzJs3T17pWWzGza+O0QC14gYehFpi1cyZGDrVBvaBUYhPkVb7uGuIOxaACxGxiH1Sh0LdObFaw2AFr0oOQYz1F1iwbDMWBpQj7YfSEynWrjiBwA2mGPVXE5jtiUBkvfQ+0Nx9HiwGu3LliuyxT5kyRW7maHPlY2MZahKCcd7/KA75nUfYlUQkZuUg5/ETlGl5s5RfK7ulmF84OTl1vNisPgM1N7Zhw8IlGGV2DKfSWzq1pGXiYTaKcnKRrVSjXAi+6/jXgmekeRnhu80w7Z3hmGYVjEBJuy/yVyIjI2UHhKHC1q1b5Y2mFq+dIUNrrqZ6JWqLUpAe5QPvvethtcwc5ostsW6vH7xispFZJoU6z/m4tlwtcDeWxWbclOLTiG5Sfn6+5m47aMhE7a0dsLKQBD/HByFJfLNL/yd1EfKzHyH3fjmqpRheHw4eNELB06e+hog98zCj13DM2BSMgIpnBc+kj0LZvHkzRowYgZdffhmvvPIKBg0ahOXLl2PFihVYsmRJ669ly6VVVxK56UiM+vv/oscffoff/efreP3d/ug7egamLViKpcuk63kf28brm2++wezZs/HGG2/gpZdewvvvvy//+4ULF9qXyDZkoUYS/JYFszB49GbsPHoKVy+dwNmTh+Hocw0nrylRpydOqMEKviY1FLGbh2Hhiu+wKKgamT/0S0shjeIYfC2nYuQHc7DYKQZXJQ08HVVwheSGzm9+8xu8+uqr+POf/4yePXv+cPXo0QNvv/12668evdDz3ffw3nvv4N233sCbv38FL//HS3jpV/+Of/v1b/Hb/34Dr//PW/jL2z3Q43kf34aLX9tPv8Y//elP8puVm1PcLGszDfdkwW+db4rPPl8Jy12uCPTbCxdHK6yzC4d7VDVU+rC8Sxiu4KWk9dKmL2C+fAssTlQho0XwdXkoO7cG388eh/6THGBz5j74gH7aqTl37pxcq/LHP/5RngrG2hVu3wcEBMDHRwpLvL3bdvn6wdcvQBLKERy1W4f1ZiMx/KNeeOft3niv3wRMWLQFmxzc4ebth2M+3vCVrud+nlZefn5+crN4aGgovvvuO/Tq1Qv9+vWTWw7bvGdQnykLftPCBRhm4gjXc3fwMC8NmakxiLiUjhtp1ahvx4OjKzBMwasrURDpCI+ZPTF0hAmGbYmEX1Q8Em9GITbUDR7r52HFcmt845WIyw9a7Jsf4agM7l5yY4nJH+fDdNjTbqpCbc5V3A73hfeRQzjg5AB7W3s47HfHkcBoRKcWoeDZL0UrMH6nq9QyIoRuU5tKENRZqL+zG5uWrsK4hScQnv2T52FjJZ6UlqG0WIUaZfdXvWEKvrYA98MdcNB8IMaPN8WEdW6wd/dHkLcd9ttswoaNjnDwv4n4UjVqnnIWKPZ9+/bJyR47jFif8tNhSe2mKgfFUU44sm0Nlm1whq1/HOKkZK+8Xg11Y1Or9wLaC10l1v2wotPMzEwucqupac07TEqIVckoj7HC6pmzMWjKAXhevo9ylQrVVWWoKE5EemoCriWUIL+k+9fxGKbgG5WozE9D+rVwREXGIPpmGpLSM3AvXVrlb99AXHw2sqTl9OkfD+fHcFgSY3daeiy71Vp9TF0FVA8SkHL9MmKupyM5r6rTT9pmqyG9+cGDB8tJbVxcnObOi2hAQ/4FJLnNhOmAz/D2J4uw0s4HoZcuIizIH8ftvoPTQU+4XVfgbqVY4fUGNlkfOnRILredMGGCXDKglZW9m8EKy2+//RYDBgyQw7Vfrrvhocm3kH5qH2w3fIullvZw9AnGmdhInA0OwHEHe7j7nMbpHBUe6UHiKgQv0VIfQ7GzX5TlA4baRUS/npYrR3UziWV3Fied/dTH/zlSSKOuQ72yAhVlZVCUPUFFVTWU0vdHWVWFyvJyVFQqoVQ3Cx9eH2AcS+eFxWBMUrmLagwTAVhsxr0EhjcsNmPdjTFg1IJnfE7bjvMe2YvK+P1FMx8NCe4Uc2YlZ+fwUIbvv//eKIY8Ga3gactFR0fLySkLrRi/d2j7XQ/h94BlExQ9d5Dp17Nf1pAxWsHTW6dTwaaJ7du3t28H0gBgrsJNNlNTU/l7YWtrq7VZOt0RoxM8y3wZvy5atAj9+/eXH+W5ubmau8YJwzjuwPJpR9HzJBJDHfJkdILnCI2WRzgLw3Q9UkNf4JAnlkywuYXJO0M8Q8xnjErwHI7ENjh60HQoUlJSDNJrby+M3z08PORdZor+2LFj7R4C210xCsFT1CwZ4IYLHQl6z2yH007Pp2HBUIYTirkfwXp6WradPY1BlxiF4HmQAE/RoBvD9jfOj2EXk+D5PHz4UE5eWWIxbdo02bo1lBmWBi94ruw8OY8xOysF6c6IWYy/DD15jvrmxhT7ePl9M4RxfgYteJYMcKViax5XKtaHi8lcrYNhIN0rjvzmYsF+3s6erKYLDFbwbFw+fPiw3J7HBg7Gom1uvBbIiT2nItPCZZugvp8oaJCCZ+JFt4GJF5se2K3UHYYl6St0t5YuXSqv9Ky74d/1VfQGJ3jGmb6+vrLDwNWdmyj0mAXth5t1FPmCBQvkCksaAKy41EcMSvAcT8H2NYqdDgNnsrD+W6AdGMOzEZxdU5s2bdLL763BCJ7OC5usZ3I61tChssPADiaBdqHoWwruaAhwRo8+YRCCp/PCHk0+cplcserPkAuguhIuLGx9pOi5Y81NKn2qu9F7wbccE8nJYPwB0FFITU3V3BXoAi4w7BCj+8XDIPbv3683TTN6LXg6Bax8pHPAlZ0TwTIzMzV3BbqE+VJgYKBsDFD0nIOjD6LXa8FzMi7F3rdvX7kYjB6xqHzsPBjKsCWShWYcWsViMzo63Rm9FTx7MDkDvWXOCifmCjofVlPSDWMSS3eM58h259INvRQ87bDdu3fjH//4h+zKXL16VZQMdCH8eVD03JhiPT2HtnbXYjO9EzwfoxwmxJWdRU0ceirE3vWwIpXuGIvNWKQXHh6uudO90CvB88QNThagz06H4PTp0+Lo9W4Ew0x2kfHJyzLs7vjk1RvBs92MCRJjRZ6vxGFJoj6me0HXjCUIlpaWskXMVsr4+PhuZSToheDZcUOxsxiMboCbm5t8Tqqg+0GXhiLn4Wqsu1m9ejVu3bqludv1dHvB0+9l6MKzlVj5SL9XbxoRGlWoLilGabkSxtZyQpHzJBJ69HTTWILQHSosu7Xg2YQQEhIiDzdlE4ednZ3cfqYfVKIoNRoR7i7w9o/AxYwylNQbzx4BRxiy7oYuGg0GxvbdYVOw2wqeu3bsUGIIwyNn3n33XXlzifYXL846797XDmxZPQezRg7ByBHjMcFsOZZabsTGLTuww9YZzi5HcMTNBS4HHOHsYC+9mZ/3OfT3Ylk23TROQHjttdfko3e40ickJHTpSq9bwTer0VBTgQpFIYoKClBYXIIShQKK4iIUFSlQpqx/5mwlwiSHvaj8Bn388cf44IMPZLuLzkzLCdic9Nu9r7EYO2YUvhw2GEM++xR9+/wd//fRR/jow97423vv4J2e0vW3T9BnwHAMGzUG48aOkV7/vM+jnxd/RjQXuAvbp08f9O7dWy444yL2Imetua4aVYpilMhaKYVCUSYtfhWoVNahtrG5wwdH6FbwDeUovRuFKM/dcLDZBZvD/vAOCsVJfy94H/GC/8VkxBc3o/apJz0TH4Yu9NjZpseEteVcJZ5+zb93/8sdHp5e8PKWLo+j8DjiCpeDtrCzNsO8YT3R679+h9f+Mhj95+3EZgd3+HhLr9eb/1vrLnaasdyAv7u4uMDLy0su/3j+xAhJBI1FKEiKxsXjvgg4HoiA0FMIDTmFsMCziLyWiqTyenTUqtCt4NWVKEuWvmDrcTA3NcEka384B0ch8qwPgt22Yesme+w6chVx+dVSxPsjrICkDclOJV5MXHm1/F0/rkpUcVVSN6C+8jGK0mIQG3wAh7ZaYLHpaIwaYQKTNYfgHHkf6Y8roVJKr9e7/2PrLv4s+fNjmMrfW864/ZFG1CruIuOMO/wP7YeTVwgCzoTjfFQ0IsOCEbRrp7RY+OJYVgXudTAa0nEM34z6Rzdxx2Ys1sw3g+mhbIQ/aEJj00OoMl2xe+Y0TBlrDbvLD5Cl+YgWDKEIrKleBVV5Pgqk5PXy8X1w3GiBhbPnYM6ybdjsIv1AU4pRJCWyxpPKPg/pf9+Qg+yLB7F37nys2ngYHqkVyKupQ119PWpLs5Hh64jAw67wSC5FSgf3GXWetKoLE5Bq+xXWLzLHdPcSXJErSKVH2pMAOJlKsfgnC2B1LguJ8qsNiTo8yYpGtMv3sN20EdY2++HocQIBZy/h0s0MaVVXolpM+ZNWhVo03/XFmV1zMGb8Giyyj0VaDdf8FmpQmxWHzFtxiMutxsMOnnSoc8E3FCQgZd9EWM6ZgrFbw+F6IQlJ14Jw0dMSS0zmYbqFK3yTSvBY83rDQQXF3UhcPLQd+3Y5wjHoJq7k1Uo/PsHPaKhA+ck1cJg7CH3MDsPqVPFPxE6kJ0CzCupaJSqrG1HTwUoF3a/wRYlIsZ+Eb0yGYuB8W1jaucF120KsmTwQg8atxBzH67haUIs6g3uuN0Fdp0RVuQKlpeUor65HnVjRn6G5rhTZR+djy+Q+6LfUB7uiVf86xOONDuqkU1b4ZGmFXztrIr60CoVz2HXERXgiaI855k00wUQLBzjF5CNT/6e4CdoDBX9kPjZP6oO+S3ywUxK8LumEGD4RaXaTsHHpIszyKMRlefqy9DYtj0DA4oGY0GcQxtlcQYCYpmGc0MmLsMZ+88HoM3EXVvvm4pkpQlKcr65VoVp6RHb0Kan7FT7/NpL2jIOl+Tx87ZKLiy0ny9Qk4oLVSMwf1BdffhcJT+M4RE7wNM31aHwUiAhbM4wdao7ZW8JwuaxRSuib5NKSJnUdGktyUPIwF9mKOpR2a5dGSjbKEoMQsuRDjB/QF30sPLDD/zKuRp9GeKAttphNwszpK7ExMB1xxZqPERgZ0tNenYeC6744YrkIyxauwlo7T7j4n0JYRBSiY6/iyuXriE/NQW55A6o72DKrW8E3VaI4IQTBm01gYToZJt84YbvrCQQfc8YR2/VYu2YnNh+IRmyeEiKEN3JU+Si57gl/22+xZrU1rHY646CHL44FhSEkKgm375ejWt3BjFVCxyt8A+oqClGYlYjUhDtISL+PrNx85D/MRm5WKlLvPkB2gRLKrq8aFXQ5kphri6B4cBepSdRGNrJz85CXX4B8RRWeqBo7XEdDdB7DCwTdCSF4gVEhBC8wKoTgBUaFELzAqBCCFxgVQvACo0IIXmBUCMELjAoheIERAfw/PZVgdz8u058AAAAASUVORK5CYII=)
In the figure,
and area (
A D E) = area (
B C E D) The value of ![fraction numerator B D over denominator A B end fraction equals](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General