Question

Match the reasons with the statements in the proof.

Given:
m 6 = m 8
b | | c

Prove:
a | | b

Answer 1

1. Given

2. Substitution

3. If alternate interior angles equal, then lines ||

4. If lines ||, corresponding angles =.

Answer 2

Please find the attachment.

We have been given that
`m\angle6=m\angle8` and b||c.

Let us match the reasons with given statements in the proof.

Since we know that if two lines are parallel then corresponding angles will be equal. So by corresponding angles
`m\angle7=m\angle8`.

By substitution we will get,

`m\angle6=m\angle8`

`m\angle7=m\angle8`

Therefore,
`m\angle7=m\angle6`

Since we know that if the alternate interior angles are equal, then lines are parallel.

Hence proved that a||b.