In the diagram, PTS is a tangent to the circle TQR at T. Calculate < RTS
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Correct Answer: Option B
Explanation:
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
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