The angle of quadrilateral are in the ratio 3 5 9 13 Find bigest angle of the quadrilateral ........

Quantitative Aptitude ( CCS) Geometry

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The angle of quadrilateral are in the ratio 3: 5: 9: 13. Find bigest angle of the quadrilateral.

108°

128°

100°

156°

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Explanation:

Let the angles of quadrilateral are 3x,
5x, 9x, 13x.
∴ 3x + 5x + 9x + 13x = 360°
(Sum of the angles of quadrilateral)
⇒ 30x = 360°
⇒ x = 12°
Hence angles of quadrilateral are:
3x = 3×12° = 36°
5x = 5× 12° = 60°
9x = 9× 12° = 108°
13x = 13× 12° = 156