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In quadrilateral ABCD, if ∠A = ∠B = 60° and ∠C = ∠D = x then what will be x |
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Answer» Answer: ⇒ In quadrilateral ABCD, ∠A = 60 ∘ and ∠B:∠C:∠D=2:3:7 [GIVEN] ⇒ Let ∠B,∠C,∠D are 2x ∘ , 3x ∘ and 7x ∘ . ⇒ ∠A+∠B+∠C+∠D=360 ∘ [Sum of all angles of quadrilateral is 360 ∘ ] ⇒ 60 ∘ +2x ∘ +3x ∘ +7x ∘ = 360 ∘
⇒ 12X ∘ = 360 ∘ −60 ∘
⇒ x ∘ = 12 300 ∘
⇒ x ∘ = 25 ∘
⇒ ∠D = 7x ∘
Substitute VALUE of x we get, ⇒ ∠D=7×25 ∴ ∠D=175 ∘ |
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