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Question
In the given figure, find ∠PQR.

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Solution
SQR is a straight line
∴ ∠SQT + ∠TQP + ∠PQR = 180°
⇒ x + 70° + 20° – x + ∠PQR = 180°
⇒ 90° + ∠PQR = 180°
⇒ ∠PQR = 180°− 90° = 90°
Hence ∠PQR = 90°
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