ABCD is a parallelogram in which ∠A = 700. Compute ∠B, ∠C and ∠D.

Question:

ABCD is a parallelogram in which ∠A = 700. Compute ∠B, ∠C and ∠D.

Solution:

In a parallelogram ABCD

∠A = 70°

∠A + ∠B = 180°        [Since, adjacent angles are supplementary]

70° + ∠B = 180°        [∵ ∠A = 70°]

∠B = 1800 − 70°

∠B = 110°

In a parallelogram opposite sides are equal.

∠A = ∠C = 70°

∠B = ∠D = 110°

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