Question

The adjacent angle on a straight line are in the ratio 5:4.Find the measure of each angle.

Answer 1

let common ratio be x

angles= 5x and 4x

5x+4x=180 (linear Pair)

9x=180

x=180/9

x=20

angles= 5(20)=100

= 4(20)=80

Answer 2

Let the First angle be 5x
and second angle be 4x
we know , the sum of two adjacent angles =180°
So
5x+4x =180°
9x= 180°
x =180°/9
x =20°
So , the first angle = 5×20°= 100°
second angle = 4 ×20° =80°