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