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In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

∠D = 150°

Let∠A =∠B =∠C = x

By angle sum property of quadrilateral,

∠A + ∠B + ∠C +∠D = 360°

x + x +x+∠D = 360°

3x+∠D = 360°

3x = 360°–∠D

30 = 360° – 150°

3x = 210°

x = 70°

Hence,∠A =∠B =∠C = 70°.

Thanks

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