Question

In ΔABC it is given that `(AB)/(AC) = (BD)/(DC)`. If ∠B = 70° and ∠C = 50° then ∠BAD = ?

विकल्प

• 30°

• 40°

• 45°

• 50°

Answer 1

30°

Explanation:

∠A = 180° – (70° + 50°) = 60°.

Since `(BD)/(DC) = (AB)/(AC)`, it means AD is the bisector of ∠A.

∴ `∠BAD = (1/2 xx 60^circ) = 30^circ`.