Question

two supplementary angles are in the ratio 11:7. find the angles.

Answer 1

Hey!

Let one angle be 11x°.
Let the other angle be 7x°.

According to your problem, they are supplementary angles.

Hence,
11x+7x=180
=>18x=180
=>x=10

The first angle = (10×11) = 110°.
The second angle = (10×7) = 70°.

Hope this helps you!

Answer 2

$\huge\bold\color{red}{Question\: :-}$

Two supplementary angles are in the ratio of 11 : 7.

Find the angles.

$\huge\bold\color{red}{Answer\: :-}$

Let the first angle be 11x°

And the other angle 7x°

Hence,

7x + 11x = 180

18x = 180

x = ?

x = 180 ÷ 18

x = 10

Now,

7 × 10 = 70

11 × 10 = 110

Therefore,

The angles are $\large\sf\color{blue}{70°}$ and $\large\sf\color{blue}{110°}$