Question

I need a step by step explanation please ​

Answer 1

Answer:

Let angle B = angle D = x

and angle A = angle C = 2x

sum of interior angles of quadrilateral = 360°

Therefore,

∠A + ∠B + ∠C + ∠D = 360°

2x + x + 2x + x = 360°

6x = 360°

x = 360/60°

x = 60°

Hence , ∠A = 2x = 2 × 60° = 120°

∠B = x = 60°

∠C = ∠A = 120°

∠D = ∠B = 60°

Hope it helps

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