Question

In the figure, PQRS is a cyclic quadrilateral. Find the value of x.
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Answer 1

Answer:

90 dgree

because it's right angle

Answer 2

In triangle, PRS

angleRSP+angleSRP+angleSPR=180°

=>angleRSP+50°+35°=180

=>angleRSP=180°-85°

=>angle RSP =95°

Now, in cyclic quadrilateral

angleRSP+angle RQP=180°[sum of opp. angles is 180°]

95°+angleRQP=180°

angleRQP=85°