Question

Hi, can you help me with this question? Thank you.

Answer 1

We are asked if

`m\angle4=m\angle5`

which lines are parallel.

If

`m\angle4=m\angle5`

then line r and line s are parallel, while line L is a transversal.

A transversal is a line that cuts two parallel lines.

Since line r and line s are parallel, then angle 4 and angle 5 are alternate angles. Alternate angles are always equal and congruent.