Question
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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)
- 35°
- 45°
- 40°
- 50°
Hint:
The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. Here we have given a figure and ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E. We have to find the angle EBC.
The correct answer is: 35°
A line is a simple, one-dimensional shape that can go on forever in opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is a geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠".
If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.
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)
![H e r e space O A space a n d space O B space a r e space r a d i i space o f space t h e space c i r c l e comma space s o space A O B space i s space a n space i s o s c e l e s space t r i a n g l e. space
S o space w e space g e t space space
angle O B A equals angle O A B equals 25 degree space space space space
N o w space u sin g space t h e space a n g l e space s u m space p r o p e r t y space o f space t r i a n g l e comma space w e space g e t colon space space space
angle O A B plus angle O B A plus angle A O B equals 180 degree space space space
35 degree space plus 35 degree space plus angle A O B equals 180 degree space
angle A O B equals 180 degree minus 70 degree
angle A O B equals 110 degree
W e space a r e space a w a r e space t h a t space a n space a r c apostrophe s space a n g l e space a t space i t s space c e n t r e space i s space t w i c e space a s space l a r g e space a s space i t s space a n g l e space a t space a n y space o t h e r space p o i n t space o n space i t s space c i r c u m f e r e n c e.
S o space w e space g e t space colon
angle A O B equals 2 cross times angle A C B space space
N o w space w e space c a n space w r i t e space i t space a s colon space
angle A C B equals fraction numerator angle A O B over denominator 2 end fraction space space
P u t t i n g space t h e space v a l u e s comma space w e space g e t colon
angle A C B equals fraction numerator 110 degree over denominator 2 end fraction space space
angle A C B equals 55 degree
N o w space c o n s i d e r space triangle B E C comma space u sin g space a n g l e space s u m space p r o p e r t y space o f space a space t r i a n g l e comma space w e space g e t colon
angle E B C plus angle B E C plus angle E C B equals 180 degree
P u t t i n g space t h e space v a l u e s comma space w e space g e t colon
angle E B C plus 90 degree space space plus 55 degree space space equals 180 degree
angle E B C equals 180 degree minus 145 degree
angle E B C equals 35 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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.
Related Questions to study
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,iVBORw0KGgoAAAANSUhEUgAAAKgAAACxCAYAAABQkvbnAAAgAElEQVR4nO2dWVebV5qoH80gCQkNCDHPOAxmsjGDMY4NxtiJnaQqneqhbs5ZdVXnXPRPqJ/RZ/VaXWv1RafjrKy4bMcTxsbGjGYGg5kRYjRiECA0S+ciZTqpVBJsJoG/Z61cBbNfiefb+9vvfvfeomAwGERAIEQRH3YAAgK/hCCoQEgjCCoQ0giCCoQ0gqACIY0gqEBIIwgqENIIggqENIKgAiGNIKhASCMIKhDSCIIKhDSCoAIhjSCoQEgjCCoQ0giCCoQ0gqACIY0gqEBIIwgqENIIggqENIKgAiGNIKhASCMIKhDSSA87gCOPe5aNxXkGZsS4FLFkZRgwa9ZxLUzTP+piM2gkOyuO6CjlYUd6JBEE3S3OMewjTdyqk7EcWcn/Mmgwa+ZxWuq5+7UNqz+PP/xvtSDoOyIIulvELoLuZRbmpSy4XLj9EsCHxP2aOcsM424zG5vuw47yyCIIuit8eFa2WFlyIpNHoFa72FiZYV7xmqWVcDQJqXygSkanDz/sQI8sgqC7IbDG7OAUve1TeIIZqCNXWZjopHFgDttyBKb8LEpOFhKXqD3sSI8sgqDvjBu8M0yOLjIwJkN9KoHMohjMgXV8vmg0cVFknczlgxwzUaLDjvXoIgj6zqwSWB9nfiPIUngBJz4o4cOSQuIDPvAECIjlhKuVhIuEXN5uEAR9V9x2AvMTrHpFrMfkEpWQwQm1GsVhx3XMEAR9FwIe3LOTzHT0YVlUsa4zIFaqkB92XMcQYfR5a4IEXTYWRvppa+5jaPI1TrGYgFSG97BDO4YIPehbEwSCBMMMSONPk61LRJZlIFEnIXDYoR1DRMIR4O+A341zfYV1+wZbwTAkaiOaiHA0YSJhSNpjBEEFQhrhgRcIaQRBBUIaYZK0SxwOB6urq3i9XjQaDTqdDrFYeO73CkHQXTI0NMSzZ8+w2+3k5+fz4YcfotfrDzusY4Mg6C5YX1+nubmZ//iP/2BlZYWamhqSk5MFQfcQYSx6RzY3N3nx4gU9PT0sLi6yubnJ6OgoHR0dzM7OHnZ4xwYhzfSOdHZ28uc//5mpqSkMBgNqtZr5+XlkMhkfffQRv/vd71AohJX53SL0oG9JMBjEZrPR2NhIV1cXZrOZP/7xj/zrv/4rH374IfPz89TX1/Py5UvcbqGSfrcI76Bvyfr6OnV1dbS3t2M0GikpKaGgoACFQoHNZqO/vx+r1UpdXR0KhYKcnJzDDvlII/Sgb4HX62VkZIT79+8zPz9PZWUlFRUV20N5ZmYmH3/8MXq9nidPntDS0sLm5uYhR320EQR9CyYnJ2lqasJqtZKYmMj58+dJT0/f/v96vZ7KykoKCwvZ3Nykvb2dnp4eHA7HIUZ9tBEE3SEul4unT59SV1dHVFQUV65cISsrC5lMtv0zIpEInU7Hhx9+SHFxMePj49y8eROLxXKIkR9tBEF3gMfjoa+vj+fPn7OyskJ5eTnV1dWo1eq/+/MnT57k2rVr6HQ62tvbaW1tZWNj44CjPh4Igu6A4eFhbt26xfz8PEVFRZSWlmI0Gn/258PCwsjLy6O8vByVSsWzZ89oaGjA5XIdYNTHA0HQX2FtbY3m5maampqIiori+vXrnDhx4lf/nV6vp6qqirKyMqamprh37x4TExP4fL4DiPr4IKSZfoGNjQ3a29vp6OhALBZTVFTEmTNn0Gp/fZ+7WCzmgw8+2E49jY+P09TUhFKpJDk5+QCiPx4IPegvMD09za1btxgfH6e0tJSqqip0Oh0i0c42uisUCvLz86mtrSUsLIy7d+/S2toq9KJvgSDoz7C0tERrayv9/f0YDAZqa2s5efLkW/8eo9FIbW0tRUVFzM7O0tjYyNDQEH6/fx+iPn4Igv4dfD4fDQ0NPHr0CI1Gw4ULF8jJyUEikbzT74uLi6OiooLs7GzGxsa4ffu2kHraIYKgf4Pb7WZ4eJhHjx4xPT1NeXk5NTU1O3rv/CXy8vL49NNPUSqVNDQ00NbWJqSedoAg6N9gsVior6/HarWSkpJCSUkJSUlJ79x7vsFgMFBSUkJ+fj4+n4/W1la6urqE1NOvIMzif4DL5aK9vZ0HDx4QHh7OlStXyM3N/dFq0bsiFouJiYnh0qVLrK+v09vbS3h4OAkJCaSmpu5B9McToQf9K263m4GBAZqbm1lZWSE/P5/q6mqioqL2tJ3i4mIuXbpEWFgYnZ2dtLe3s7q6uqdtHCcEQf+K1Wrl5s2bjI6OUlBQwIULF4iOjt5xSmmnyOVyCgoKOH/+PBKJhHv37tHS0rKnbRwnBEH5vsazra2NlpYW1Go1165do6CgYN/ai4qK4qOPPqKoqIiRkREeP37M5OSkkB/9O7z3gno8HlpaWmhsbEQmk3HmzBkKCwuJiIjYtzalUikZGRmUlZURFxfH6Ogojx49Ym5ubt/aPKq814IGg0Gmp6d5+PAhr169oqioiOrqaqKjo/e9bblcTmFhIVeuXCEYDHLv3j16enrweoUz8n7Iey3o/Pw8zc3NDA4OotFoqKioIC8v78AOXoiJiaGqqorMzEzm5+dpaWlhZGREGOp/wHudZmpvb+fOnTuIxWJqamo4derUge7ElEgkJCcnU11dzfLyMl1dXWi1WnQ6HbGxsQcWRyjzXvagPp+PkZERnj17hsViIT8/n48++giTyXQo8ZSUlHD16lUAnj17RmdnJ1tbW4cSS6jxXgo6OzvLd999x/DwMBkZGZSXl5OUlLTnKaWdotPpOHXqFEVFRXg8Hurr6+no6EA4suA9HOIdDgednZ3U1dUhkUj4+OOPKSoqOvQDv+Li4rh69SpOp5Oenh40Gg1paWnExsYe2oMTCrxXPajH42FgYICWlhYcDgc5OTmcPXv2QGbtv4ZCoeDUqVOUlZWhUCjo7++nra0Nm8122KEdKu+VoEtLS9y7d4+uri6ys7Opra0lISFh14Uge4VSqaSkpIQLFy7gdDr5y1/+Qm9v72GHdai8N4I6HA5evHhBW1sbEomEmpoaSktLDzusn5CYmMj169fJzMxkaGiIxsZGpqenCQTezysa3htB29vbuXfvHn6/n7Nnz1JYWEhYWNhhh/UTxGIxmZmZVFRUkJCQQG9vL/fv32dpaemwQzsUjr2gfr+fmZkZ6uvrGRgY4OTJk3z88cfExMQcdmg/i1Qq5cyZM9TW1uJyuXj48CF9fX3vZe3osRd0YWGBJ0+eMDg4iNFopLS0lJycnJA/GjE+Pp6KigoyMjKw2Ww0NTUxPDz83u1lOtZppkAgwMDAAHfu3MHpdPLRRx9RXFy8x0O7h6BzhfkZG7ZVNwGFDInET1AkRhQWjUYbjUkrIvwta56lUilpaWnU1taysbFBS0sLERERxMXF/eKhEceNYytoMBhkfHyclpYWLBYLxcXF1NbWkpiYuJetEHBYWZ18SU//Cha7Ao1egTK4jNvlxak7hTkjinCl5K0Fhe8LSs6fP8/S0hJ//vOfaW5uJj8/n4qKipB8f94Pju0Qb7PZ+O6772hvbyctLY2qqipSU1P3NiEf9GIf7mWk+TmDr72sx2RjTkknTRuO2b2O17vFikSMaxdNqtVqSkpKKC0tZX19ndu3b79Xqadj2YM6HA66u7t58uQJHo+H2tpaysrK9mG1yI9ndozZgT5GI9Iwnc4mKU9G+qqYNXkYQZUOr16EfJdbmhITE/nkk0+w2+10dnYSExNDenr6e3HlzbH8dP39/TQ0NOBwOMjLy6O4uHh/CkFEYsKUIqQ4eD0xwUj/JIubQHQKkZn5nEiOJUMDEbv8llUqFfn5+Zw+fRq1Wk1vby/Pnj1jZWVlTz5GKCP505/+9KfDDmIvWVpa4ptvvuHZs2dkZmby2Wef7dnOzJ8iRsYWHtcKU8OTTFtWcch1aKJjMUXriFQrUUvFyEWw29V0uVxOWFgYXq+Xly9fMjc3R2Ji4h6/U4cex0rQtbU12trauHfvHk6nk+vXr3P58mXCw8P3qUURYrUepUaKZHGIhZFX9C1KcShNJCYZMMjFSNi9nG+IjIxEq9UyNDTE8PAwGo2GhISEXR8qEcocK0FfvHjBjRs3WFxc5OzZs1y9enX/CkGCQYKBIEiVhGm16FRe/MvTTAxNMe+QoYhPx6ANQyffuyYlEgk6nQ6n04nVasVisWzvbwr1vO67ciwEDQaDLC4ucvPmTRobG8nOzub3v/89mZmZ+1YI4nU6cayt4QqKkYTriIhPwCDdhLE2LMs+FiNPER2rJ2OPOzepVIrBYMDr9dLR0YHNZiM5ORmTyYRUevzmvMdikrS8vExdXR09PT2YzWbKysp+cn78XrO1tsrcyCizVitrAEQTl5pFaY6OpEgvdruT1fX9aTs2NpaSkpLt80fr6+t59erV/jR2yBz5R87j8TA4OMi9e/ew2+1cu3Ztu6Zy/3DjsE0w3tnGktpMjFzNBwYFKrsfhywGTXQMieZw9Kr9aV0kEpGens61a9f4+uuvaWxsRKfTkZqauq/bpQ+DI92DvlktampqYm5ujuTkZM6fP7/PJxgHgU38niXWbbNMj1kY6h/m1eggA+NzvFyPJdycTdlJIxn7WI+i0WiorKzk9OnTuFwuXrx4QWdn57E7Me9I96Cbm5vU19fz7Nkz4uLiuHz5MpmZmfs6tH8vqBiVMZ70M2cxBjUEo9S47Ys4vGGYT10kL+0EcZlaDHs4QfpbRCIRGo2Gc+fOMT09TXd3N99++y1arZbCwsL9a/iAObI9qMfjobe3l8bGRjY2NqisrOTChQsHsEYtAiLQJxeRU3WNU2UFmKROrEPjjE4vI9eHkxwTjlka4CBWy7Oysvj000+Jjo6mo6ODlpYW1tbWDqDlg+HI9qBvqpRWVlY4ffo0JSUlB3RPu4g3X5tfFKC7r5f7d76lpa0bp09E/1Afry+e53xFBQnJ+3+sokKhIC8vj7KyMlZWVmhubsZsNlNTU/Oz9zgdJY5cmikYDLK2tsatW7d49OgRycnJfPHFF+Tm5h5YLvD169f09fdTX/eAurpHDA2PI5ZKCA+TsbZsY252jqXlFTY3N5FIJKjV6n3d96RQKAgPD8fj8dDT04PNZiMtLY2oqKgjv1Z/5ARdW1ujpaWFR48e4XA4qKqq4sqVKwc2e52fn+fp06fcuHGDx48f4/V6qaw8zxdffEF1dRWxsTHMzMzS3t5Of38/LpcLrVZLVFTUvm4f1mq1yOVyXr58yezsLGq1GpPJhE6n27c2D4IjJ+jAwABffvklFouFiooKrly5QkJCwr63a7FYePz4Mbdu3aKtrY3V1VViY2M5d+4cV69epbS0lKSkZBITk5BKpfh8Pux2OzMzM4yMjDA7O0swGMRgMOxLQl0qlaLRaPD5fExPTzM6OopKpSIrK+tIJ/CPlKCLi4s8ePCAJ0+eEBcXx+9///t9PewrEAjgcDgYHR2loaGBmzdv0tnZiVKp5NKlS/zjP/4jFy5cICYmZjsGlUpFWloa+fn5mEwmFhYW6O7u5tWrV7hcLmQyGWq1GqlUuufDflhYGGazmeXlZdrb23E6naSmph7pof7ICLq1tcXdu3d58OABCoWCy5cvc/HixX2dtY+NjfHdd9/x9ddf093djVgs5tSpU1RXV1NZWUl2djYKheInf3yZTEZkZCTR0dHodDoiIyPxeDxYLBa6urqYmpoCwGw273lK7M3EaHZ2FqvVisvlIiYm5shuEzkSgrrdbl6+fMmXX37JzMwMV65c2bdCEI/Hw9zcHJ2dndTX1/P06VMsFgvR0dHU1tbyxRdfUFFRsaOMgVKpJC0tjYKCAoxGI+vr64yNjTE1NcXKygpOpxP4Xui9rLhSq9Wo1WpGR0cZGhpCq9Ue2YKSIyHoyMgIDx8+pLe3l6SkJD755BOysrL2ZdgaHBzkzp07fPXVV/T39xMVFcXly5e3N9y9y/uuXC7HaDSSlJS0Xb85NDREW1sbVqsViUSCyWTaM0nDwsIwGAzMzc0xOjqK2+1Gr9djMpmQy/dx9WAfCHlB3wztd+/eRa/X8+mnn1JcXIxKtXcL3W966Lq6Ou7fv8/AwABbW1tkZmZy6dIlPv74Y7Kzs3eVKVAoFJhMJj744AMiIyPx+Xysra1hs9mwWCzMzMzgcDgIDw/fdUZCJBKhVCqRyWTY7XYGBwex2+3bqaejREhP71wuF729vbS2tmK326mqquLixYtERkbuye/3+/1sbGwwODjIgwcPaGxsxOl0UlRUxD/8wz9QVFSEyWRCo9HsSXvw/Wy7sLCQ1NRURkdHaWpq4smTJwwNDdHX18fly5c5e/YscXFxyOXyXaWmCgoK2NzcZHR0lK6uLl68eEF0dPQBLWjsDSHdg46MjPDf//3fDA0NUVBQwLVr10hPT9+TfKLb7aatrY1vv/2W7777DovFgk6no6ysjOrqaioqKoiLi9uX9zapVIpKpSIxMRGtVktERARSqZSVlRVevXrFwMAAKysraDSaXckklUrRarXY7XYsFgvz8/OoVCoyMjKOzKw+ZAXd2Njg/v373L17F5PJxL/8y79QWFi463eozc1NpqenaW1t5cGDB9sXd+Xk5PDb3/6Wzz77jJycHJRK5R59kl/GZDKRn59PRkYGEomEqakpXr16xdzcHB6Ph2AwiEwmQ6FQvFNaSqFQoNfrWV9fp6OjA6fTSUZGBpGRkUdC0pAUdGtri6dPn/Lw4UOcTieVlZVcuXJl13tvNjc3aWlp4auvvuL27du8fv2anJwcamtruXTpEvn5+W91H/xeIRaLMRqNREVFkZiYiF6vx2az0d3dTU9PD3a7nYiIiHfKWojFYrRaLX6/n7GxMRYXF5HL5URFRR2JVaaQEzQQCDAyMsKXX37J2NgY586d4/Lly7u6z9Jms9HT08PDhw95+vQpIyMjSCQSTp06xaeffsrly5dJSEg49NM6IiMjSU9PJzU1FZlMxtraGouLiywsLDA3N8fy8jIAERERb5U/lUgkqFQqxGIxExMTjI6OotfrycjICPlVppATdGZmhoaGBp4+fYpOp+OLL76gsLDwnb7IN3uVmpqauHHjBvX19TidTkpLS/n888+5fPkyaWlp+7jr892IiIggPj6e7OxszGYzS0tLvHjxgv7+fhwOByqVCoPB8FaShoeHYzKZsFgs9PX1IRKJSExMRKfThcwBvn+PkBLU5/Px4MED/vKXvyCVSqmtraWqquqd0i7z8/PU19fz7bff8vz5c5aXl0lKSqKiooKamhrKy8vR6XT7XNz87oSHhxMdHU18fDwqlQqZTMbW1hZzc3MMDAwwOTmJ1+vFaDTu6L1cLBZvZyMWFhYYGxvD5XKRkpKyZ1mR/SBkBPX5fAwPD3Pjxg2Gh4epqqrit7/9LWazece/IxAIsL6+zsTEBM+ePePu3bt0dXUhlUo5f/48//zP/0x1dTUJCQlHYoIA34uakpJCUVERZrOZtbU1+vv7GR4eZn19HZFIhEKhQCqV7khUvV6PQqGgr6+P8fFxYmJitl8pQpGQEXRiYoJbt27R3d1NUlLSO13oarVaefjwIf/1X/9FU1MTIpGI4uJiampqfrR2ftRuzZBIJCiVSkwmEyaTaTvZPjU1RWdnJ+Pj4wSDwR2tRoWFhaFWq1lYWGBqaoqtrS20Wi3x8fEh+dCGhKAOh4PHjx9z8+ZN1Go1n3/++Y5Xi/x+P9PT03R0dFBXV0dLSwuTk5Po9Xqqqqr4/PPPOXfuHEaj8ciJ+bcoFAri4+PJy8sjKioKl8uF1WpldnaWxcVFVlZW8Hg8KBSKX6ymDw8PJzw8HLvdTl9fH06nk/T0dLRabch9R4cu6Jt7gR48eIDVaqW0tJTPPvtsRwW+wWCQkZER7t69y1dffUVXVxd6vZ5Lly7xm9/8htLS0iM1nO8UiUSC0WgkNTWVtLQ05HI5Q0NDtLe3MzU1hVgsRqfT/ewKmEQiQa/X4/P56O/v5/Xr1xgMBkwmU8htEzl0Qaenp/nqq6/o7e3l5MmT24UgvyRnMBjk5cuXPHz4kLt379Lb24vb7ebEiRNcvHiR2tpacnNz0Wg0x07ON8hkMnQ6HRkZGdvHMLrdblZXV7FYLIyOjrK6urqdqP9b5HI5EREROBwOJiYmsFqtGI1GMjIyDuHT/DyHKujGxgZPnz7l9u3bhIWF8U//9E9UVFT8bNrjTYHFy5cvuX//Pvfu3WN4eJiEhASuXbvG7373O06fPo3BYAi5oWo/MRgM5ObmkpWVhUKhYHR0lO7u7u26U4VCgVKpRCqV/uiBjYiIwGg0YrVa6erqQiwWh9xQf2iCBoNBnjx5wu3bt3E4HL+6WhQIBOju7uabb77h22+/ZXh4GKPRSHl5OZcuXeLs2bMkJibuusDiKCIWi1EoFJjNZgwGAwaDAaVSydraGq9evaKnp4elpSVUKtWPVqNEIhE6nQ6Xy8X09DRzc3MEg0Hi4uL2tEBmNxyKoD6fD4vFwpdffklfXx/l5eV88sknJCUl/aT3dDgcWCwWmpubqa+vp7W1FZvNRkZGBp988gmfffYZeXl5IffudFjodDpycnI4ceIEYWFhLCwsMD4+ztzcHOvr6zidTiQSCWFhYchkMkQiEVqtFqlUysuXL5mcnCQ2NpbExMSQWGU6FEHfrBY9f/6ciIgIrl+/zpkzZ35SOeR0Ouno6ODGjRvcvHmT2dlZTpw4wdWrV7l69Sp5eXkYDIaDDv9IoNFoMJlMpKSkbOdPu7q66OzsZG1tDbVajdlsRiwWExERgVarZWxsjPHx8e0CaqPReOirTAf+iPh8Prq6urhz5w4ikYja2tqf3Pr25j2zp6dn+6lWKBScPHmSmpoaSkpKDqza6ChjNpsxm83bS6YNDQ2MjIzQ0dHBwsICvb295OXlkZ+fT3JyMr/5zW9wuVx0dnaiVquJjo4mNjb2UD/Duwsa9OP3BQgABP96YpFEglgi/tnzdPx+P6OjozQ3N2O1Wrlw4QJXr14lLi4O+F7e5eVlOjo6uH//Pj09PSgUCk6fPs2FCxfIycnBYDCE3Np5qKPT6aiurqawsJDe3l6ePn1Ke3s7PT09nDlzhq2tLYqKisjLy2N+fp7x8XHa2tooKChAp9Md6vf9joKusz5jZXpmhXW/CJ/Xi9/tRxqViC4lnaRI8d+9OGBhYYE7d+7Q19fHiRMnqKqq2t7js7KyQmtrK8+fP2dkZGQ7bZSbm0tJSQlFRUVHctNXqPBmI53BYECr1RIdHc3AwADj4+P8+7//+3aKLiUlhcrKSjo6Onj48CERERFUVFQcWtxvKagPj2ORtelJxqdeM7/uxycVI3Kv411bwja5hMImwXsyntxYBT9c3d3a2qKjo4OGhgbCwsL4/PPPOX369HZJWXt7O01NTfT396NSqbYPZTjI4uH3AbVazfnz5ykuLqa7u5u6ujqampqYnZ3FZrNRUFCA2WxGr9fT29uLyWQiMzMTo9F4KDnltxDUC75pLF0dtDRbWdUkEn+qkAy9CLX/NQGbm8ePxxgc8aAQlxMVm0EMIAECfh/d3d00Njbi9XopLy/nzJkzSCQS7t+/T11dHRMTE+j1ei5evEhBQQFZWVmkp6cfuV2IRwWlUklRURGRkZFkZWXR19fH4OAgExMTREVFsbW1RSAQYHR0lOfPn1NRUbE/V/n8CjsWNOBaYn3wKb1NA7ROx2IuT6EyK4OsCAjDBAkbvHwyQlffImOZ8WR8mIFeBkq+vxrm+fPnjI+Pk5ubS3Z2NqOjo0xPT9Pe3s7S0hJJSUlUVlZSU1Nz6C/m7wvh4eHk5OSQk5NDeXk59+/fp6urC4fDgdfrxePxMDAwgFgsJioqCr1ef+Cppx225scxP0zfw0b6xiT48z8jrTCbzAj+egamDGQqwsVeFG4b65ubLHvAI4PAqo3WltbtcytLS0tZXFzkm2++YWJiArPZTHl5OWVlZaSkpPxoWS4QCBAIBPbjcwvw/Zr8m0UNo9FIbW0t2dnZdHZ20tDQgNVqZWlpCbvdvn2ETnp6+oFKuoOW/OCdYm1qgJaOVSZkOWTlZZCbpuJ/ao084HHhcXtwe4LIgiIUku9Px+3s6ODf/t+/8bypGYlEgkQiwefz0dHRwdbWFmlpaajVagKBAB0dHbjdbrxeL8FgcP8+tcCPEIvF2xvznE4nr169Ynh4ePvAs5GREf7zP/+TYDDIH/7wh/272ufvsANBvbD6EptlmL6NKDZTs8iODyf5h9t3guv4X0+ytOZiURJNhkZHvOL73nVh4TUzMzPbVfFjY2NIpVJiYmKQSqUoFApevXrF2NgYwWDwR/8JHAwikQiRSIRYLCYYDOL3+1EoFGRlZeFwOHC5XGxsbDAxMcHW1taBxvbrgvp98HqalfkFFhSpqExJxKsV/Gildm0J+/AAMxseVuJOYDDHECcCGZCTl88f/8//xev14vP58Hg825u4pFIpgUAAj8cj9Johgkgk+tE25zd/M4/HQ0pKyoHfavfrggYDsLGJe8uFS6lGo9OhVch/cL3fFlvT43Q3WZnzmTCXFZKZEc2bXS65+fnk5OXh8Xjw+XwEg8HtJxb4kZSCoIfP/xTaiBBJpMhkUiQSMWKC7N2ljjvn1wUViSFMiUKlRCkBqc+D1xfg+zdML7jHmBifpGU0HMxZnD9/gtzUH1fCv9k3IyTajzKHUyG2A0HlYM4iKmWBE4M21uZ66R9TI96So1ifZWW2n94xJ/akSnLPnKE620CysBJ5DHDj33jNgnWeheUtnBIFAbEMcVBGpMlMdHw0OsX+F3P8+u8XyyA6j9icTc4PPqN3dYKxsRik3gii7FPMTzpwqNLJKysnLzuBDGWIn0gmsDOCDtz2UYafN9E2sMpWTCIqvRq1cwt5VCbm/FIKUjQkqvZ3dWkHLolAHI0+pZhzVU5UY6tMigAi0CXloTNnk6UyYEhNxKgAqd9PMChGJH2/ioaPHSmLlSEAAANESURBVCIQK3zY55dYmHAgTTaRnh6OaXKMzqE1umxquJhN3Ek9+1mQtzP9/Vt4XC58Cile3wb2iWGmRqaxOmSIDUb0GikS+wJry3aWHX7cwmTnGOBDIvaxFYwgEPEBaflnqSrLpCTegXdxhI6eaSbmXez3X3oHPWgAXIusTnbxormZp63DTCyL8OoSGR5PJzXBSExkBBEaA8a4ZGISVISphN7zyONZwffaypJPjF2fgiFST0xwmZWNTZw+kKjUyBWKfb+qcGdDvEiMSBaOXBNLTIqYsBgvW0E5kqATt8PFllJDhESBXCEnTC5GIhEEPfJsrLA1NcLqlpvXgU1mhzrpfj3NwowWRXICFz/IJDdRHSKChsVgzNRxLqGUMx4vfp+TrXU76w4fHpkWlVaHMVJFRLgcmVwsTJKOAYFlO0uTC/h8UgLMMdw0yKbch8uUQ2zxGUpOpXBCv/+VZjtzSSxHGi5H86P0UQA8blxBOWKFBKEo7jjhY21pHeuUC2lkGon6KJQ9Q6ytSgjmZhGTk8XJaPmBXJa7i85ODPLwAwlS4KBZZWltg/ElLfLCXM6cTkfj7GXO6mJBG4lYIeegllyO57EbArvACQELtvU1ppxmCEvmZFIUZ3IjMepFLM2vMj/rwXdA0QiCCvyAAEHHLGtDTfQPDNBhC7LoVKFTqUjKjUenDbDS/pzeJ530zTqw+/c/IkFQgR8QILC+hG1oHKv1NStSMR6pFJFEhST+BEaznui1cTbHXjI4t86yd/8jEibcAj9AhEhhRBVbRvHFLHT+ZJKyTejkSpBlkVzo5bpznlVlPIm6MJQHcKaDKCjUuAn8kKCfgN+PPxAkgASxRIJUIkIEBAO+v56F8H0pnkQi2vchWBBUIKQR3kEFQhpBUIGQRhBUIKQRBBUIaQRBBUIaQVCBkEYQVCCkEQQVCGkEQQVCGkFQgZBGEFQgpBEEFQhpBEEFQhpBUIGQRhBUIKQRBBUIaQRBBUIaQVCBkEYQVCCkEQQVCGkEQQVCGkFQgZBGEFQgpBEEFQhpBEEFQhpBUIGQRhBUIKQRBBUIaQRBBUIaQVCBkEYQVCCkEQQVCGkEQQVCGkFQgZBGEFQgpBEEFQhp/j/HqcY7X2/PFQAAAABJRU5ErkJggg==)
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,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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.
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,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAQCAYAAACiEqkUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAR1JREFUeNpjYICA/wyDA/wf8Q4YKgHxDYiZRnpAqADxpdEUwcAQAMTL6eTBQR0Q9UBcDcSNQPwciH8A8X4glhyAgOAB4i4gfgrEv4B4HRAL0isgVgHxXSAuh1oKKiv6SEwl1AgIUCCcA+JWIOYDYjYgLgFiHxzmEMIkO+AWEGuhiYEc8onOAdEBxJMGKmswQWsMdMBBICDIjRF87nhN7WxAigPMoeUBOrAE4r10TBGmQHyYRPuomjUigXg+FvEiIK6lY0B4QQvGAas1QHkyEU2MDdquoGetYQzENwYyINZBC0sXKF8aKpY4AO2IC9AagwVaWBcAsTW9AuIlEPtBA+MP1DEBA9SekQXig1B3gFJk8mini8YOIFiiDmd3AAAmTXOA33YjhAAAAIl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjMwQTs8L21vPjxtaT5iPC9taT48bW8+KzwvbW8+PG1vPiYjeDIzMEE7PC9tbz48bWk+YzwvbWk+PG1vPj08L21vPjwvbWF0aD4RPNzDAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle b+c is 90 degrees.
In the adjoining figure,
and
then ![left floor b plus left floor c equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle b+c is 90 degrees.
In the figure,
and
then the value of x =
![](data:image/png;base64,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)
Here we used the concept of angles on same side of transversal. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.
In the figure,
and
then the value of x =
![](data:image/png;base64,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)
Here we used the concept of angles on same side of transversal. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.