Question

Two complementary angles are in the ratio of 2:3.Find them.

Answer 1

let angle be x
2x + 3x = 90°
5x = 90
x= 18°

2x = 2*18
1 angle= 36°
2 angle = 3x = 54°

Answer 2

Let the angles be x .so according to the ratio the angles will be 2x and 3x. As the sum of complementary angles are 90. So according to the problem

2x+3x =90

5x =90

X=90/5

X =18

The first angle is=(18×2 )=36

The second angle is =(18×3)=54