In a triangle ABC, D is a point on BC such that AB AC = BD DC. If ∠B = 68° and ∠C = 52°, then measure of ∠BAD is equal to:

Answer: Option D

If $$\frac{\text{AB}}{\text{AC}}=\frac{\text{BD}}{\text{DC}}$$   then AD is bisector of ∠A.
∠A = 180° - (68° + 52°)
∠A = 60°
∠BAD = $$\frac{{60}^{\circ }}{2}$$ = 30°