In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY
Attached Figure / Diagram
A
34o
B
13.36o
C
44o
D
46o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
< XYQ = 180^\circ - (80^\circ + 56^\circ)
= 44^\circ
< PYQ = 56^\circ (alternate angles, XP||YQ)
< QPY = 90^\circ
< PQY = 180^\circ - (90^\circ + 56^\circ)
= 34^\circ
Source: Myschool Past Questions Archive (Record #26540)