Math, asked by kaamalaa, 10 months ago

The angles of quadrilateral are in the ratio 3: 5 : 9 : 13 x find all the angles of the quadrilateral???​

Answers

Answered by BrainlyDectective12
121

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 360°

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 12°

Hence, the angles are

3x = 3 x 12 = 36°

5x = 5 x 12 = 60° 9x = 9 x 12 108°

13x = 13 x 12 = 156°

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