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Question
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
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Solution
Let the common ratio between the angle is ‘ЁЭСе’ so the angles will be 3x, 5x, 9x and 13x
respectively
Since 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 × 12 = 36°
5x = 5 × 12 = 60°
9x = 9 ×12 =108°
13x =13× 12 =156°
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