Question

If line t is a transversal of lines l and m, name the angle relationship of the given angle pairs.

∠1 and ∠3

∠8 and ∠4

∠2 and ∠3

Answer 1

`\angle 1\ and\ \angle 3` are corresponding angles and are congruent to each other.

`\angle 8\ and\ \angle 4` are alternate exterior angles and thus congruent to each other.

`\angle 2\ and\ \angle 3` are interior angles on the same side, and they are supplementary(sum=180°).

Explanation:

Given:

Line
`l\parallel m`

Line
`t` is traversal.

By angle properties we can name the angle relationship of given angle pairs.

`\angle 1\ and\ \angle 3` are corresponding angles and are congruent to each other.

`\angle 8\ and\ \angle 4` are alternate exterior angles and thus congruent to each other.

`\angle 2\ and\ \angle 3` are interior angles on the same side, and thus they are supplementary.