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Aptitude · Q58

Triangles

Competitive Exams · Aptitude · question 58

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°
Answer
B.
90°
C.
120°
D.
60°

Answer: Option A

Solution

Answer: Option A
Solution:
According to question,
Triangles mcq solution image
Given :
∠D = 50°
∠BAC = 2∠BDC (property)
∴ ∠BAC = 2 × 50°
∠BAC = 100°