Question

Angle bisector theorem

Answer 1

PLEASE HELP

Answer 2

Here, I'm just splitting the triangles apart to better 'see' where everything is.
We already know that those two 30 degree angles are congruent. We need to know one more pair of angles are congruent to prove these as similar by AA~ postulate.

Notice how there is a shared angle between both triangles as well. That should help us. :)