Question

understanding transversals
use the diagram to complete the statements.
angles 1 and 5 are because they are
congruent
supplementary
neither
angles 4 and 6 are because they are
angles.

Explanation:

Step1: Recall corresponding angles

Corresponding angles are in the same relative position. Angles 1 and 5 are in the same relative position, so they are congruent.

Step2: Recall alternate interior angles

Alternate interior angles are between the two lines and on opposite sides of the transversal. Angles 4 and 6 are alternate interior angles, so they are congruent.

Answer:

Angles 1 and 5 are congruent because they are corresponding angles. Angles 4 and 6 are congruent because they are alternate interior angles.