In the figure given, ∠B = 38°, AC = BC and AD = CD

Geometry

In the figure given, ∠B = 38°, AC = BC and AD = CD. What is ∠D equal to?

  1. 26°
  2. 28°
  3. 38°
  4. 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.