In figure, if , ∠B = 40°, and ∠C = 60°, then ∠BAD =

Given: and ∠ B =40°, ∠ C =60°

We know that Converse of Angle Bisector Theorem states that if a straight line through one vertex of a triangle divides the opposite side internally in the ratio of the other two sides, then the line

bisects the angle internally at the vertex.

Here, {Given}

So, AD is the bisector of ∠ A

∵ ∠ A +∠ B +∠ C = 180° {Angle sum property}

⇒ ∠ A = 180° – 40° – 60°

⇒ ∠ A = 80°

Also,