3. In the diagram, AB is the tangent to the circle at P and PX is the diameter. Given that BPQ = 42°, find PÔX, PÂXQ and XPQ.
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TQS=90
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(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=10
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