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°

Question

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°

Team Careers360 · Accepted Answer

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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Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that ∠PQR = 30°, then ∠RPQ =?Option 1: 90°Option 2: 60°Option 3: 30°Option 4: 45°

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Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $∠$ PQR = 30°, then $∠$ RPQ =?
Option 1: 90°
Option 2: 60°
Option 3: 30°
Option 4: 45°