In the given figure, ΔPQR is an isosceles triangle with PQ = PR and m ∠PQR = 35°. Find m ∠QSR and m ∠QTR.

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Solution

Disclaimer: Figure given in the book was showing m∠PQR as m∠SQR.

It is given that ΔPQR is an isosceles triangle with PQ = PR and m∠PQR = 35°

We have to find the m∠QSR and m∠QTR

Since ΔPQR is an isosceles triangle

So ∠PQR = ∠PRQ = 35°

Then

Since PQTR is a cyclic quadrilateral

So

In cyclic quadrilateral QSRT we have

Hence,

and

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