Question

an exterior angle of a triangle is hundred and its interior opposite angles are in the ratio of 2 :3.find the angles of triangle.

I will mark brainliest and say thanks

Answer 1

Ratio =  2 : 3 (Given)

Define x:

Let x be the constant ratio

Ratio =  2x : 3x

Solve x:

Exterior angle of a triangle is equal to sum of the opposite angles

2x + 3x = 100

5x = 100

x = 20º

Find the angles of the triangle:

2x = 2(20) = 40º

3x = 3(20) = 60º

The third angle = 180 - 40 - 60 = 80º

Answer: The angles are 40º, 60º and 80º