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Aptitude · Q126

Triangles

Competitive Exams · Aptitude · question 126

Q126

In an isosceles triangle ΔABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to.

A.
90°
B.
100°
C.
130°
Answer
D.
80°

Answer: Option C

Solution

Answer: Option C
Solution:
Triangles mcq solution image
∵ AB = AC
   Point D is the incenter
∴ ∠BDC = 90° + ∠A
              = 90° + × 80°
              = 90° + 40°
              = 130°