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Question -

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



Answer -

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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