Verified answer

Step-by-step explanation:

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Let the common ratio between the angles be = x. As they are in ratio 3 : 5 : 9 : 13, so we can assume angles be as 3x, 5x, 9x and 13x. Hence, the angles of quadrilateral are 36°, 60°, 108° and 156

Step-by-step explanation:

Given: The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13.

To find: All the angles of the quadrilateral.

The sum of interior angles in a quadrilateral is 360 degrees.

Let the angles of the quadrilateral be 3x, 5x, 9x, and 13x respectively.

The sum of all interior angles of a quadrilateral is 360°.

∴ 3x + 5x + 9x + 13x = 360°

30x = 360°

x = 12°

Hence, the angles are

3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

thks didi....

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°