SSC CHSL 2020 PYQ — Question 51

SSC CHSL - 16th October 2020 - Shift 1 • Quantitative Aptitude • Q51

In the given figure, AP is perpendicular to BC, and AQ is the bisector of angle PAC. What will be the measure of angle PAQ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 30o

Understanding

Tricks

Application

In ΔAPC

⇒ ∠APC + ∠PCA + ∠PAC = 180

⇒ 90 + 30 + ∠PAC = 180

⇒ ∠PAC = 180 - 120

⇒ ∠PAC = 60

Now

Since, AQ is the bisector of angle PAC

So

∠PAQ = 60/2

∠PAQ = 30