Find The Angle RQP = ?
In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that angle PQR = 300 then angle RPQ =
- 900
- 600
- 300
- 450
Answer: (2). 60 degree.
The diameter of the circle is PQ.
R is a point on the circumference of the circle.
Angle PQR = 30o (given)
As we know that angle sustained on the circumference of circle is 900
On joining points P, Q, R It forms a Triangle PQR.
In Triangle PQR,
Angle (RPQ) + Angle (PQR) + Angle (PRQ) = 1800 (Angle sum property of triangle)
Angle (RPQ) + 300 + 900 = 1800
Angle (RPQ) = 1800 – 1200
Angle (RPQ) = 600
