ST is a tangent to the circle at P and QR is a diameter

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ST is a tangent to the circle at P and QR is a diameter of the circle. If ∠RPT = 50°, then the value of ∠SPQ is

1. 40°
2. 60°
3. 80°
4. 100°

Correct Option: A

According to question , we draw a figure of a circle with centre O ,

Here , ∠RPT = 50°
∠RPQ = 90° (Angle of semi circle)
∠TPS = 180°
∴ ∠SPQ = 180° – 50° – 90° = 40°