PQ is a tangent to the circle at T. If TR = TS where R and

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PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS = ?

On the basis of question we draw a figure of a circle with centre O and PQ is a tangent

Here , TR = TS
∠SRT = ∠TSR = 65°
∴ ∠STR = 180° – 130° = 50°

∴ ∠PTR = ∠STQ =	130°	= 65°
	2

∴ ∠PTS = 65° + 50° = 115°