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