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Mathematics

Grade9

Easy

Question

In the following figure, PQ = PR and SQ = SR, then

∠PQS =∠PRS
∠PQS = ∠PQR
∠PQR = ∠SQR
∠PRQ = ∠SRQ

hint Hint:

In the given question we have to find the correct statement from the given options. For this we have to prove the triangles PQS and PRS congruent and then we know that the corresponding sides and angles of the congruent triangles are equal.

The correct answer is: ∠PQS =∠PRS

Here ∠PQS =∠PRS
As In
$increment P Q S space a n d increment P R S comma P Q equals P R left parenthesis g i v e n right parenthesis Q S equals Q R left parenthesis g i v e n right parenthesis P S equals P S left parenthesis c o m m o n right parenthesis increment P Q S approximately equal to increment P R S left parenthesis space S S S right parenthesis$
So $angle P Q S equals angle P R S space left parenthesis c p c t right parenthesis$

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