WAEC - Mathematics (2002 - No. 20)

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY
34o
13.36o
44o
46o
Explanation
< XYQ = 180° - (80° + 56°)
= 44°
< PYQ = 56° (alternate angles, XP||YQ)
< QPY = 90°
< PQY = 180° - (90° + 56°)
= 34°
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