Math, asked by palaknanda312, 1 month ago

in figure 11.31 PQ=PR and SQ=SR prove that angle PQS= angle PRS​

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Answers

Answered by pradiptadas2007
5

Answer:

The prove is given below—

Step-by-step explanation:

In ∆PQR,

PQ=PR

So, ∆PQR is an isoceles triangle.

Which means, ∠PQR=∠PRQ

After that,

In ∆SQR,

SQ=SR

So, ∆SQR is an isoceles triangle.

Which means, ∠SQR=∠SRQ

Let ∠PQR be x so ∠PRQ will be also x

And let ∠SQR be y so ∠SRQ will be also y

∠PQS=∠PQR–∠SQR=x–y

So, ∠PQS=x–y

∠PRS=∠PRQ–∠SRQ=x–y

So, ∠PRS=x–y

Therefore, x–y=x–y

Hence, ∠PQS=∠PRS. (proved)

Hope it helps you...

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