Home » In the Diagram, PTS is a Tangent to the Circle TQR at T: Calculate

In the Diagram, PTS is a Tangent to the Circle TQR at T: Calculate

In the diagram, PTS is a tangent to the circle TQR at T. Calculate

  • A.
    120o
  • B.
    70o
  • C.
    60o
  • D.
    40o
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