Q58
ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect at D. If ∠BDC = 50°, then ∠A is
A.
100°
AnswerB.
90°
C.
120°
D.
60°
Answer: Option A
Solution
Answer: Option A
Solution:
According to question,
Given :
∠D = 50°
∠BAC = 2∠BDC (property)
∴ ∠BAC = 2 × 50°
∠BAC = 100°