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

In a triangle, ABC, D is a point on BC such that AB/AC =…

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

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 30º

In triangle ABC,

$\frac{AB}{AC}$ = $\frac{BD}{DC}$ .

It is possible only if AD act as an angle bisector of $\angle$ A.

$\angle$ A + $\angle$ B + $\angle$ C = 180

$\angle$ A = 180 - 68 - 52

$\angle$ A = 60

$\angle$ BAD = 1/2 of 60 = 30°.