PQ is a tangent to the circle at point T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS = ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 115°
Here, TR = TS
So, ∠SRT = ∠RST = 65°
And
∠RTS = 180° - (65° + 65°) = 180° - 130° = 50°
Now,
∠RTP = ∠SRT = 65°
So,
∠PTS = 50° + 65° = 115°