Q:

Match the reasons to the statements in the proof.1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° Subtraction property of equality 2. m∠1 + m∠5 = m∠1 + m∠4 Substitution 3. m∠5 = m∠4 If alternate interior angles equal, then lines are ||. 4. Ray YZ is parallel to Ray UV Given

Accepted Solution

A:
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180°
Given

2. m∠1 + m∠5 = m∠1 + m∠4
Substitution

3. m∠5 = m∠4
Subtraction property of equality 

4. Ray YZ is parallel to Ray UV
If alternate interior angles equal, then lines are ||.