Question

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

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Let the sides be 3x, 5x,9x,13x.

Sum of interior angles of a quadrilateral = 360°

⇒3x + 5x  + 9x + 13x =  360°

⇒ 30x = 360°

⇒x = 360°/30°

⇒x = 12°

∴ The angles are 3x = 3×12°= 36°

                             5x = 5×12= 60°

                             9x = 9×12= 108°

                             13x= 13×12=156°

⇒The angles are 36°, 60°,  108°, 156°