In the diagram, PTS is a tangent to the circle TQR at T. Calculate < RTS
Attached Figure / Diagram
A
120o
B
70o
C
60o
D
40o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
RTS = RQT (angle between a tangent and a chord at the point of contact is equal to the angle in the alternate segment) But R = Q + T = 180
RQT = 180o - (50 + 60)
= 180o - 110o
= 70o
Since RQT = RTS = 70o
Source: Myschool Past Questions Archive (Record #33038)