SSC CPO 2023 PYQ — Question 143

SSC CPO - 04 Oct 2023 - Shift 1 • Quantitative Aptitude • Q143

PQR is a triangle. The bisectors of the internal angle ∠Q and external angle ∠R intersect at S. If ∠QSR = 40°, then ∠P is:  

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 80°.

Given that

PQR is a triangle

If ∠QSR = 40°

Concept used

When the bisectors of the internal angle ∠Q and external angle ∠R intersect at S, then ∠P = 2∠S

Calculation

∠P = 2∠S = 2 × 40º = 80º