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Maths-

General

Easy

Question

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 $angle C equals$

40°
200°
100°
none of these

hint Hint:

Exterior angle of a triangle is equal to the sum of its opposite interior angles

The correct answer is: 40°

$A B D space equals C A B plus A C B space left parenthesis e x t e r i o r space a n g l e space o f space a space t r i a n g l e space i s space e q u a l space t o space t h e space s u m space o f space i n t e r i o r space a n g l e s right parenthesis 120 equals 80 plus A C B A C B space equals 120 minus 80 A C B space equals 40$

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