# A conjecture and the two-column proof used to prove the conjecture are shown. Match the expression or phrase to each statement or reason to complete the proof?

##### 1 Answer

Oct 22, 2016

**1.**

Angles are said to be *supplementary* if they sum to

**2.** Given

This is the second statement of the given information.

**3.** Definition of angle bisector

An *angle bisector* is a line, ray, or line segment that divides an angle into two equal parts. Depending on the teacher or work, it may also be prudent to add that

**4.**

The substitution property of equality allows us to take two equal values and use them interchangeably in equations. In this case, we are substituting the equality in step 4 into the equation in step 2.

**5.** Definition of supplementary

See **1.**