Home » In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY =…

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY =…

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.
34^o
B.
13.36^o
C.
44^o
D.
46^o

Correct Answer: Option A

Explanation

< XYQ = 180° – (80° + 56°)

= 44°

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

< QPY = 90°

< PQY = 180° – (90° + 56°)

= 34°