SSC CHSL 2020 PYQ — Question 52

SSC CHSL - 16th October 2020 - Shift 1 • Quantitative Aptitude • Q52

In the given figure, PQR is a triangle in which angle P : angle Q : angle R – 3 : 2 : 1, and PR is perpendicular to RS. What will be the measure of angle TRS?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 60o

Understanding

Given

PQR is a triangle in which angle P : angle Q : and R – 3 : 2 : 1

Application

According to figure

⇒ (3 + 2 + 1)unit = 180

⇒ (6) unit = 180

⇒ (1 unit) = 30

means

∠PRQ = 30

Now

∠PRQ + ∠PRS + ∠TRS = 180

⇒ 30 + 90 + ∠TRS = 180

⇒ ∠TRS = 180 - 120

⇒ ∠TRS = 60