Question

If two supplementary angle are in the ratio 11 : 7 then find the angle

Answer 1

Answer:

let angle are 11x and 7x

A/Q

11x + 7x = 180

18x = 180

x = 180/18

= 10

hence 11x. = 10 × 11 =110

7x. = 10 × 7 = 70

Answer 2

Let the angles be 11x and 7x.

Supplementary angle = 180°

This means,

Sum of angles = 180

11x + 7x = 180

18x = 180

x = $\frac{180}{18}$

x = 10

Now, the angles -

11x

= 11 × 10

= 110°

7x

= 7 × 10

= 70°

Therefore,

The two angles are 110° and 70°.