Question

if two supplementary angles are in the ratio of 4:5 then find the angle

Answer 1

Let the first angle be 4a

Second angle = 5a

We know that,

Sum of two supplementary angles = 180°

=> 4a + 5a = 180

=> 9a = 180

=> a = 20

First angle = 4 × 20 = 80°

Second angle = 5 × 20 = 100°

Answer 2

supplementary angle=180
4x+5x = 180
9x=180
x= 180/9
X= 20
4:5=4x= 4*20= 80
5x= 5*20= 100
hope this answer will helps you