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In a quadrilateral ABCD, ∠A = 3x, ∠B = 5x, ∠C = 20x and ∠D = 8x. Find the value of x.

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In a quadrilateral ABCD, ∠A = 3x, ∠B = 5x, ∠C = 20x and ∠D = 8x. Find the value of x.

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The sum of the angles of a quadrilateral is 360°.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 3x + 5x + 20x + 8x = 360°

⇒ 36x = 360°

⇒ x = 10°

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