Question

In quadrilateral ABCD, if ∠A = ∠B = 60° and ∠C = ∠D = x then what will be x​

Answer 1

Answer:

⇒ In quadrilateral ABCD, ∠A = 60

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and ∠B:∠C:∠D=2:3:7 [Given]

⇒ Let ∠B,∠C,∠D are 2x

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, 3x

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and 7x

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.

⇒ ∠A+∠B+∠C+∠D=360

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[Sum of all angles of quadrilateral is 360

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]

⇒ 60

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+2x

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+3x

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+7x

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= 360

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⇒ 12x

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= 360

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−60

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⇒ x

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=

12

300

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⇒ x

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= 25

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⇒ ∠D = 7x

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Substitute value of x we get,

⇒ ∠D=7×25

∴ ∠D=175

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