Question

13. If the supplementary angles differ by 30°. Find the smaller angle.
​

Answer 1

★彡( ANSWER )彡★

Let the first angle be x

Supplement of angle is given by = 180- x

Difference between the two angle = 30

(180- x )- x = 30 (difference between two angle is taken here)

180- x - x = 30

180- 2x = 30

180- 30= 2x

2x = 150

x = 150/ 2 = 75

x = 75

Supplement of angle

x = 180-x

= 180- 75

= 105

The angles are 75 and 105

Answer 2

let x be the angle

180-2x=30

180-30=2x

150=2x

x=150/2

x=75

the smaller angle is 75