Question

Q)IN FIGURE,ANGLE PQR=PRQ ,THEN PROVE THAT ANGLE PQS=PRT.​

Answer 1

Answer:

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anglePQS=180-angle PQR=angle PRQ

and angle PRQ=180-angle PRT

so we can say that angle PQS is equal to angle PRT

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Answer 2

Answer:

We have,

Given that, ∠PQR=∠PRQ

Let ∠PQR=x then ∠PRQ=x

Now, we know that

∠PQS+∠PQR=180

o

∠PQS=180

o

−∠PQR

∠PQS=180

o

−x.......(1)

Also, we can say that,

∠PRT+∠PRQ=180

o

∠PRT=180

o

−∠PRQ

∠PRT=180

o

−x......(2)

By equation (01 and (2) to and we get,

∠PQS=∠PRT

Hence proved.