Question

one of the exterior angle is 120 degrees and the interior angle in ratio 2 :3 find the angle of triangle

Answer 1

We know that, Exterior angle = sum of opposite angles

Given, the ratio of the interior angles is 2 : 3

Let the interior angles be 2x and 3x

Given, one of the interior angles = 120°

According to the question,

2x + 3x = 120

5x = 120

x = $\dfrac{120}{5}$

x = 24

1st angle => 2x

=> 2 × 24

=> 48°

2nd angle => 3x

=> 3 × 24

=> 72°

$\therefore{}$ The interior angles are 48° and 72° respectively.

Answer 2

Here is your solutions

Given:-

The ratio of the interior angles is 2 : 3

Exterior angle = sum of opposite interior angles (Triangle rule)

Let the interior angles be 2x and 3x

one of the exterior angles = 120°

A/q

=>2x + 3x = 120

=>5x = 120

=>x = 24

1st angle => 2x => 2 × 24 => 48°

2nd angle => 3x  => 3 × 24 => 72°

Hence  

The interior angles are 48° and 72° .

Hope it helps you