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Maths-

General

Easy

Question

In the figure, $stack B C with bar on top$ is extended both sides upto D, E. $angle B A C equals ?$

10°
80°
100°
none of these

The correct answer is: 80°

$angle A B C plus angle A C B plus angle B A C space equals 180 to the power of ring operator space space space space left parenthesis a n g l e space s u m space p r o p e r t y space o f space t r i a n g l e right parenthesis space space space space space space space space space space space left parenthesis i right parenthesis space space angle A B C plus angle B A C space equals 125 to the power of ring operator space space space space space space space space space space space space left parenthesis e x t e r i o r space a n g l e space i s space e q u a l space t o space s u m space o f space t w o space o p p o s i t e space i n t e r i o r space a n g l e s right parenthesis space space space space space space space space space space space space space space left parenthesis i i right parenthesis space space angle B A C space plus angle A C B space equals 135 to the power of ring operator space space space space space space space space space space left parenthesis e x t e r i o r space a n g l e space i s space e q u a l space t o space s u m space o f space t w o space o p p o s i t e space i n t e r i o r space a n g l e s right parenthesis space space space space space space space space space space space space space left parenthesis i i i right parenthesis space space 125 plus angle A C B equals 180 to the power of ring operator space space space f r o m space left parenthesis i right parenthesis angle A C B space equals 180 minus 125 to the power of ring operator space space space space space space space space space space space equals 55 to the power of ring operator A l s o 55 to the power of ring operator plus angle B A C equals 135 to the power of ring operator space space space space space space f r o m space left parenthesis i i i right parenthesis angle B A C equals 80 to the power of ring operator$

Related Questions to study

In the figure, $stack C B with bar on top$ is extended upto D. If $Error converting from MathML to accessible text.$ and $angle A B D equals 120 to the power of ring operator end exponent$ then $angle C equals$

In the figure, $stack C B with bar on top$ is extended upto D. If $Error converting from MathML to accessible text.$ and $angle A B D equals 120 to the power of ring operator end exponent$ then $angle C equals$

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parallel

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parallel

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parallel

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parallel

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