Question

One side of a triangle is produced and the exterior angle so formed is 135º. If the

interior opposite angles are in the ratio of 2:3, find the measure of the interior angles.

Answer 1

Answer :-

We know that,

Exterior angle is equal to sum of interior opposite angles.

Interior opposite angles are in the ratio 2:3

So, Let the interior opposite angles be 2x and 3x.

Exterior angle = 135°

So,

➩ 2x + 3x = 135°

➩ 5x = 135°

➩ x = 135 / 5

➩ x = 27°

Angles = 27 × 2 = 54° and 27 × 3 = 81°

Meausre of interior opposite angle = 54° and 81°.