Question

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of

the quadrilateral. I want in big answer​

Answer 1

Step-by-step explanation:

3 : 5 : 9 : 13

let the angle be x

3x + 5x + 9x + 13x = 360

30 x = 360

x = 12

3x = 36

5x = 60

9x = 108

13x = 156

Answer 2

Given:-

• Angles of quadrilateral are in ratio of 3:5:9:13.

To find:-

• All angles.

Solution:-

Let,

First angle be 3x.

Second angle be 5x.

Third angle be 9x.

Fourth angle be 13x.

We know that,

Sum of all angles of quadrilateral is 360°.

So,

⇒3x + 5x + 9x + 13x = 360°

⇒30x = 360°

⇒x = 360°/30

⇒x = 12°

Verification:-

⇒3x + 5x + 9x + 13x = 360°

⇒30x = 360°

• Put x = 12°

⇒(30 × 12)° = 360°

⇒360° = 360°

Hence, Verified.

3x = 3×12 = 36°

5x = 5×12 = 60°

9x = 9×12 = 108°

13x = 13×12 = 156°

Therefore,

All angles of quadrilateral are 36° , 60°, 108° and 156°.