Question

In the given figure, ABC is a triangle in which ∠B = 2∠C. D is a point on side BC such that AD bisects ∠BAC and AB = CD. BE is the bisector of ∠B. The measure of ∠BAC is

(a) 72°

(b) 73°

(c) 74°

(d) 95°

Answer 1

It is given that

,

AB = CD

We have to find

Now AB = CD

AB = BD

Now the triangle is isosceles

Let

So

Now

Since

Hence (a) .