# 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?

1. 26°
2. 28°
3. 38°
4. 52°

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.