Question

1. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the
quadrilateral.
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Answer 1

First off, we must know that sum of all the angles in a quadrilateral is 360⁰.

Given: Angles are in the ratio 3:5:9:13

Now, let the common ratio be 'x'

So, 3x + 5x + 9x + 13x = 360⁰

--> 30x = 360⁰

--> x = 360/30

∴ x = 12

Now, since we have found 'x', we can find all other angles, I.e, 3(12), 5(12), 9(12), 13(12)

--> 36⁰, 60⁰, 108⁰, 156⁰

∴ Required angles are 36⁰, 60⁰, 108⁰, 156⁰