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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°, then measure of ∠R is ____.

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Detailed Solution

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°, then measure of ∠R is

.
Given that, ABCD is a parallelogram in which

∠ C = 45 °

.
Drawing the parallelogram ABCD using given data:
Question Image

Applying the properties of a parallelogram i.e., the opposite angle of parallelogram is equal.

∠ A = ∠ C

Also, PRQA is a parallelogram so we have,

∠ A = ∠ R ⇒ ∠ R = 45 °

Hence the value of

∠ R = 45 °

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