Question

If two complementary angles are in the ratio 4:5,then the angles are?

Answer 1

$\bold{ Let \: Angles \: are \: \: 4x \: \: and \: \: 5 x }$


We know, sum of complementary angles = 90°


Hence,

5x + 4x = 90°

9x = 90°

x = 10°



Hence, angles are

5x = 5( 10 )= 50°

4x = 4( 10 )= 40°

Answer 2

let assume the ratio as 4x and 5x

complementary angle = 90°

4x + 5x = 90
9x = 90
x = 90/9
x=10

Sub 10 in the place of x

4x = 4(10) = 40°
5x = 5(10) = 50°