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In the diagram SQ is a tangent to the circle at... - WAEC Mathematics 2002 Question

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY

A
34o
B
13.36o
C
44o
D
46o
correct option: a

< XYQ = 180° - (80° + 56°)

= 44°

< PYQ = 56° (alternate angles, XP||YQ)

< QPY = 90°

< PQY = 180° - (90° + 56°)

= 34°

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