Question

which of the following correctly classifies the relationship between ∠4 and ∠5? a. alternate interior angles b. same - side interior angles c. corresponding angles d. vertical angles

Explanation:

Step1: Recall angle - pair definitions

Alternate interior angles are non - adjacent angles between two parallel lines and on opposite sides of a transversal. Same - side interior angles are non - adjacent angles between two parallel lines and on the same side of a transversal. Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. Vertical angles are opposite each other when two lines intersect.

Step2: Analyze the position of ∠4 and ∠5

∠4 and ∠5 are non - adjacent angles that lie between the parallel lines k and m and on the same side of the transversal.

Answer:

B. same - side interior angles