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Question

In the figure shown below, PSSQ=PTTR and PST=PRQ. Then PQR is __ triangle.

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Solution

It is given that

PSSQ=PTTR

So, STQR

PST=PQR [Corresponding Angles]

Also, it is given that

PST=PRQ

So,PRQ=PQR

Therefore, PQ=PR [Sides opposite to the equal angles]

i.e., PQR is an isosceles triangle.


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