The sides AB and AC of ∆ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 88° then the measure of ∠P is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 46°
The sides AB and AC of Δ ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P.
∠A = 880
P is the point where bisectors of the ∠ DBC and ∠ BCE meet.
∠ P = 1/2(1800 - ∠BAC)
∠ P = 1/2(1800 - 880)
∠ P = 92/2 = 460