Question

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

Answer 1

Answer:

$\angle 1\ and\ \angle 3$ 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°).

Step-by-step 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.