If the exterior angle of a triangle is 130° and its interior opposite – InterviewSolution

InterviewSolution

1.

If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is(a) 55°(b) 65°(c) 50°(d) 60°

Answer»

(b) 65^o

Let us assume the interior opposite angles are Q and Q.

Then, 130^o = Q + Q … [from exterior angle property]

2Q = 130^o

Q = 130^o/2

Q = 65^o

Therefore, the measure of each interior opposite angle is 65^o.

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