In ΔABC, the sides AB and AC are extended to P and Q…

In ΔABC, the sides AB and AC are extended to P and Q, respectively. The bisectors of ∠PBC and ∠QCB intersect at a point R. If ∠R = 66°, then the measure of ∠A is?

Show answer & explanation

Correct answer: A

Explanation

Correct Answer is option 1 i.e. 48^o

Concept

Understanding

Application

Property of exterior angle bisectors:

Angle at ex-centre = 90 – (Opposite angle)/2

Given

∠R = 66^o

Figure for the explanation of question 53

∠BRC = 90^o– ∠A/2

⇒ 90 – (A/2) = 66^o

⇒ A = 48^o

SSC CGL 2019 PYQ — Question 53