In ΔABC, D is a point on BC. If $\frac{AB}{AC}=\frac{BD}{DC}$, ∠B = 75° and ∠C = 45°, then ∠BAD is equal to:
Answer & explanation
Correct answer: option 2
We know that,
Sum of all angles of a triangle = 180o.
We have,
∠B = 75° and ∠C = 45°
$\frac{AB}{AC}=\frac{BD}{DC}$
AD is bisect angle A
= A + B + C = 180
= ∠A = 180 - (70 + 50)
= ∠BAD = \(\frac{60}{2}\) = 30o