Write a two column proof

Question

Write a two column proof.

Given: KH bisects  <GKJ

Prove: <9= <10                                       

Answer 1

I am going to assume that m<9 = m<GKH and m<10 = m<HKJ.

 

Statements                      Reasons        

1. KH bisects <GKJ           1.  Given

2. <9 ≅ <10                    2. An angle bisector is a ray (or segment) that divides an angle into two congruent angles.

3. ∴ m<9 = m<10            3. If two angles are congruent, then their measures are equal.