Question

in the figure, ∠6 and ∠2 are ____________. a. alternate interior angles b. consecutive interior angles c. alternate exterior angles d. corresponding 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. Consecutive interior angles are between two parallel lines and on the same side of a transversal. Alternate exterior angles are outside the two parallel lines and on opposite sides of a transversal. Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze the position of ∠6 and ∠2

∠6 and ∠2 are in the same relative position with respect to the parallel lines \(l\) and \(m\) and the transversal \(n\). ∠6 is below line \(m\) and to the right of the transversal \(n\), while ∠2 is below line \(l\) and to the right of the transversal \(n\).

Answer:

d. corresponding angles