Question 77

- PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and $$\angle RST$$ = $$65^\circ$$, the $$\angle PTS $$ =

Solution

RT = TS

$$\angle RTS = 180\degree - 65\degree - 65\degree = 50\degree $$

$$\angle RTP = 65\degree$$

$$\angle PTS = \angle RTP + \angle RTS = 115\degree$$

So, the answer would be option c)$$115^\circ$$

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