1.

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

Answer»

Suppose the four angles of the quadrilateral are 3x, 5x, 9x and 13x.

∴ 3x + 5x + 9x + 13x = 360°

(by angle sum property of a quadrilateral)

⇒ 30x = 360°

⇒ x = 12°

Therefore, angles of the quadrilateral are 3 x 12°, 5 x 12°, 9 x 12° and 13 x 12° 

i.e., 36°, 60°, 108° and 156°.



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