Question : ST is a tangent to the circle at P and QR is the diameter of the circle. If $\angle$RPT = 50°. Then the value of $\angle$SPQ is:
Option 1: 40°
Option 2: 60°
Option 3: 80°
Option 4: 100°
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Correct Answer: 40°
Solution :
Given, $\angle$RPT = 50°
Also, $\angle$RPQ = 90° (Angle of semi-circle)
and $\angle$TPS = 180°
Therefore, $\angle$SPQ = 180° – 50° – 90° = 40°
Hence, the correct answer is 40°.
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