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 = 72°, then the measure of ∠P is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 54°.
According to the given question,
The measure of ∠P = 90° - ∠A/2
⇒ 90° - 72°/2
⇒ 90° - 36° = 54°