In the diagram above,PQR is a tangent to the circle QSTW at point A.
•Find the value of x and y.
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Answer:
TQS=900 (angle in a semicircle)
∠STQ=∠SQR (angle in the alternate segment)
In Δ TQR,
∠QRS=x=180−(∠STQ+∠TQR)
=180−[40+(90+40)]
=180−170=100
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