Question

in quadrilateral ABCD angle D is 150° and angle A is angle B is angle C Find angle A; angle B; angle C​

Answer 1

Answer:

Let the angles of quadrilateral ABCD are 2x,3x,4x and 6x.

We know, by angle sum property, the sum of angles of quadrilateral is 360

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∴ ∠A+∠B+∠C+∠D=360

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⇒ 2x+3x+4x+6x=360

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⇒ 15x=360

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∴ x=24

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⇒ ∠A=2x=2×24

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=48

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⇒ ∠B=3x=3×24

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=72

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⇒ ∠C=4x=4×24

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=96

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⇒ ∠D=6x=6×24

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=144

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