In the figure given, ∠B = 38°, AC = BC and AD = CD
In the figure given, ∠B = 38°, AC = BC and AD = CD. What is ∠D equal to?
- 26°
- 28°
- 38°
- 52°
Answer
Triangle ABC is isosceles with AB as base
∠B = ∠BAC = 38°
∠ACD = 38° + 38° = 76°
Triangle ACD is isosceles with AC as base
∠ACD = ∠CAD = 76°
∠D = 180° - 76° - 76° = 28°
The correct option is B.