Question

The anglesof quadrilateral are in the ratio 3 : 5 : 9 : 13 Find the angles of the quadrilateral?​

Answer 1

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Answer 2

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I st angle = 3x

ii angle = 5x

iii angle = 9x

iv angle = 13x

sum of angles of quadrilateral = 360°

= 3x + 5x + 9x + 13x = 360°

= 30x = 360° = x = 12

therefore , First angle = 3x = 3 × 12° = 36°

second angle = 5x = 5 × 12° = 60

third angle = 9x = 9 × 12° = 108°

Fourth angle = 13x = 13 × 12 = 156°