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