SSC CGL 2019 PYQ — Question 64

SSC CGL - 6th June 2019 - Shift 2 • Quantitative Aptitude • Q64

The vertices of ΔPQR lie on a circle with centre O, SR is a tangent to the circle at the point R. If QR bisects the ∠ORS, then what is the measures of ∠RPQ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 45°

Understanding

Application

Given

QR, bisects ∠ORS

 

Since

∠ORS = 90°

QR, bisects ∠ORS,

So,

∠QRS = 45°

By alternate segment theorem:

∠QRS = ∠RPQ = 45°