In a circle if PQ is the diameter of the circle and R is

Home » Aptitude » Plane Geometry » 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 = ?

1. 90°
2. 60°
3. 30°
4. 45°

Correct Option: B

As per the given in question , we draw a figure of circle in which PQ is the diameter

Angle of a semi–circle is a right angle.
Given , ∠PQR = 30°
∴ ∠PRQ = 90°
In ∆ PQR,
∠RPQ + ∠RQP = 90°
⇒ ∠RPQ + 30° = 90°
⇒ ∠RPQ = 90° – 30° = 60°