In a ΔPQR, the bisectors of P and R meet at a point M inside the triangle. If the measurement of ∠PMR is 127°, then the measurement of ∠Q is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 74°.
∠PMR = 90° + ∠Q/2
⇒ 127° = 90° + ∠Q/2
⇒ ∠Q/2 = 127° - 90° = 37°
⇒ ∠Q = 37° × 2 = 74°