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Circle Theorems

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Question 6

PPP, Q Q\,Q and R R\,R are points on the circumference of a circle, centre OOO. XRY XRY\,XRY is a tangent to the circle at point RRR.

Angle PQR=55∘PQR = 55^\circPQR=55∘ Angle PRQ=72∘PRQ = 72^\circPRQ=72∘ Angle QRY=x∘QRY = x^\circQRY=x∘

Find the value of xxx.

Give reasons for each stage of your working.

[3]

Circle Theorems Questions

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