Question

one of the exterior angles of a triangle is 90 Degrees and its interior opposite angles are equal to each other. find the measure of the two equal angles of the triangle.

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Answer 1

One interior angle = 90°

Two angles which r to be finded = x,x

Sum of Angles of Triangle= 180°

= x + x + 90° = 180°

= 2x + 90° = 180°

= 2x = 180° - 90°

= 2x = 90°

= x = 90/2°

= x = 45°

So, other two equal interior angles = 45°,45°