Math, asked by ziansolanki545, 1 month ago

n a quadrilateral ABCD, ⎳D is equal to 160° and ⎳A = ⎳B = ⎳C. Find ⎳A, ⎳B and ⎳C.​

Answers

Answered by brainlysrijanuknown2
2

Answer:

Let ABCD be a parallelogram in which ∠A=65∘

.

Since AD∥BC we can treat AB as a transversal. So,

∠A+∠B=180 ∘

65 ∘ +∠B=180∘

∠B=180 ∘ −65∘

∠B=115∘

Since the opposite angles of a parallelogram are equal, we have

∠C=∠A=65 ∘and ∠D=∠B=115 ∘

Hence, ∠B=115 ∘

,∠C=65 ∘and ∠D=115 ∘

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