In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incenter of ΔABC, ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are:
A. 15°, 130°
B. 15°, 125°
C. 35°, 40°
D. 30°, 150°
Answer: Option B
Solution (By Examveda Team)
∠C = 180 - (∠A + ∠B)
∠C = 180 - 150
2x = 30
x = 15°
∠BDC = 90° + $$\frac{1}{2}$$ ∠A
∠BDC = 90° + $$\frac{1}{2}$$ × 70°
∠BDC = 90° + 35°
∠BDC = 125°
So value of x and y are = 15°, 125°
This Question Belongs to Arithmetic Ability >> Triangles
Join The Discussion