Question

. Find the angles of a triangle whose interior and
exterior angles are in the ratio of 4:5. Also, the
other two interior angles are in the ratio of 2:3.​

Answer 1

Interior and exterior angles ratio = 4:5

Two interior angles ratio = 2:3

let the angle be x

4:5 = 4x, 5x

2:3 = 2x,3x

Sum of the angles of a triangle = 180°

all interior angles = 180°

=>4x + 2x + 3x = 180°

=>9x = 180°

=>x = 180°/9

=>x = 20°

Measures of all interior angles are :-

4x = 4×20°= 80°

2x = 2×20°= 40°

3× = 3×20° = 60°

☆Thus, the angles of the triangle are 80°,40°,60°.

♡Hope this help you .