Question

An exterior angle of a triangle is 150° and it's two interior opposite angles are equal. Each of those angles will be :-

(A) 70°
(B) 75°
(C) 80°
(D) 72°​

Answer 1

Step-by-step explanation:

By exterior angle theorem,

Exterior angle = Sum of interior opposite angles

Let each interior opposite angles = x

105=x+x

105=2x

x=52

2

1

It is your answer

Answer 2

Given - Exterior angle of triangle = 150°

Two interior opposite angles are equal.

Find - Each of the two interior angles.

Solution - Exterior angle theorem states that exterior angle is equal to sum of opposite interior angles.

Let us assume the interior angles to be x.

As per the question, x + x = 150°

2x = 150°

x = 75°

Hence, each of the two angles are option (B) 75°.