Question

The angles of quadăilateral are in the ratio 3:5:9:13.
Find the Angles of the quadrilateral​

Answer 1

Answer:

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Answer 2

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

Let ∠A+ ∠B : ∠C : ∠D = 3 : 5 : 9 : 13.

Sum of ratio = 3x + 5x + 9x + 13x = 30x

Sum of 4 angles of quadrilateral is 360°

∴ ∠A + ∠B + ∠C + ∠D = 360°

3x + 5x + 9x + 13x = 360

30x = 360 ∴ x = = 12°

∠A = 3x = 3 × 12 = 36°

∠B = 5x = 5 × 12 = 60°

∠C = 9x = 9 × 12 = 108°

∠D = 13x = 13 × 12 = 156°

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