Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle$PQR = 30°, then $\angle$RPQ =?
Option 1: 90°
Option 2: 60°
Option 3: 30°
Option 4: 45°
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Correct Answer: 60°
Solution : Given: $\angle$PQR = 30° We know the angle of a semi-circle is a right angle, so $\angle$PRQ = 90° So, $\angle$RPQ = 180° – $\angle$PQR – $\angle$PRQ = 180° – 30° – 90° = 60° Hence, the correct answer is 60°.
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