Question

Match the reasons to the statements in the proof. Given: m 1 + m 5 = 180° m 1 + m 4 = 180° Prove: | | 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. is parallel to Given

Answer 1

Step-by-step explanation:

Let set up the two column proof

Statements. Reasons

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

2. 2. m∠1 + m∠5 = m∠1 + m∠4. Substitution

3.m∠5 = m∠4. Subtraction Property of Equal

4.is Parallel to Given. 4.If alternate interior angles equal, then lines are ||.