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Linear Pair

In the figure...

Question

In the figure below, if $∠$ PQR = $∠$ PRQ, then, which of the following is/are true?

A

PQR = PQS

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B

PRQ = PRT

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C

PQS = PRT

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D

QPR =

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Solution

The correct option is C
PQS = PRT

$∠$ PQS + $∠$ PQR = $∠$ PRQ + $∠$ PRT (by linear pair)

But, it is given that, $∠$ PQR = $∠$ PRQ

Therefore, $∠$ PQS = $∠$ PRT

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