Question

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 1

(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.