Question

angles of a quadrilateral are in the ratio 3:5:9:13.find all the angles of the quadrilateral

Answer 1

Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13x respectively.

As the sum of all interior angles of a quadrilateral is 360⁰,

∴ 3x + 5x + 9x + 13x = 360⁰

30x = 360⁰

x = 12

Hence, the angles are

3x = 3 ( 12) = 36⁰

5x = 5 ( 12) = 60⁰

9x = 9 ( 12) = 108⁰

13x = 13 ( 12) = 156⁰