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Answer :
Let ABCD be a parallelogram in which we have,
∠A = ∠B
We know \(∠A + ∠B = 180^{\circ}\quad\) [Sum of adjacent angles = \(180^{\circ}\)]
\(∠A + ∠A = 180^{\circ}\)
\(\Rightarrow 2∠A = 180^{\circ}\)
\(\Rightarrow ∠A = 90^{\circ}\)
Thus, \(∠A =∠C = 90^{\circ} and ∠B = ∠D = 90^{\circ}\quad \)
[Opposite angles of a parallelogram are equal]