The sides AB and AC of ΔABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A=82°, then the measure of ∠P is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 131°.
∠A = 82°
∠ABC + ∠ACB = 180 − 82 = 98°
∠CBD + ∠BCE = 360 − 98 = 262°
∠P = ½(∠CBD + ∠BCE) = ½ × 262 = 131°