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Question
ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R.
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Solution
Let ABCD be a parallelogram,
Given: ∠C = 45°
In a parallelogram ABCD,
∠A = ∠C ...[Opposite angles of parallelogram are equal]
Similarly, in a parallelogram PRQA,
∠A = ∠R ...[Opposite angles of parallelogram are equal]
Hence, ∠R = 45°
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