The sides AB and AC of Δ ABC are produced to P and Q respectively. The bisectors of ∠CBP and ∠BCQ meet at R. If the measure of ∠A is 44°, then what is the measure of 1/2∠BRC ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 34°.
∠BRC = 90° - (∠A/2)
⇒ ∠BRC = 90° - (44°/2)
⇒ ∠BRC = 68°
Hence,
1/2 ∠BRC = 68°/2 = 34°