Question

Match the reasons with the statements in the proof.

1. m∠6=m∠8, b||c
Substitution
2. m∠7=m∠8
If alternate interior angles equal, then lines ||.
3. m∠6=m∠7
Given
4. a||b
If lines ||, corresponding angles =.

Answer 1

1. m∠6=m∠8, b||c
Given

2. m∠7=m∠8
If lines ||, corresponding angles =.

3. m∠6=m∠7
Substitution 

4. a||b
If alternate interior angles equal, then lines ||. 

Answer 2

Answer:

Step-by-step explanation:

1. m∠6 = m∠8, b║c

Given

2. m∠7 = m∠8

It is given that b and c are parallel therefore, ∠7 and ∠8 are the corresponding angles.

3. m∠6 = m∠7

Since ∠6 = ∠8 and ∠7 = ∠8

Therefore, ∠6 = ∠7

Substitution

4. a║b

Since ∠6 = ∠7 (alternate interior angles) so lines a and b will be parallel.