Question

find two supplementary angles , if they are in the ratio 7: 11

Answer 1

let first angle be 7x
second angle be 11x
7x +11x=180
18x =180
x=180/18
x=10
7x=7*10=70
11x=11*10=110
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Answer 2

We know that supplementary angles are those angles whose sum add up to 180°.

Lets assume the two supplementary angles as 7 x and 11 x

7x + 11x = 180°

18 x = 180

x = 180 ÷ 18

= 10 °

So , the angles are :

7x = 7 × 10 = 70°
11 x = 11 × 10 = 110°

The angles are 70° and 110°