Question

1. in the diagram below, line m is parallel to line n with a transversal line t.

which of the following terms best describes the relationship between ∠5 and ∠2?
a. consecutive exterior angles
b. alternate exterior angles
c. consecutive interior angles
d. alternate interior angles

Explanation:

• Consecutive Exterior Angles: These are on the exterior of the parallel lines and on the same side of the transversal. But ∠5 and ∠2 do not fit this.
• Alternate Exterior Angles: These are on the exterior of the parallel lines and on opposite sides of the transversal. ∠5 and ∠2 are not exterior angles.
• Consecutive Interior Angles: These are on the interior of the parallel lines and on the same side of the transversal. ∠5 and ∠2 do not fit this.
• Alternate Interior Angles: Alternate interior angles are on the interior of the parallel lines and on opposite sides of the transversal. When two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), ∠5 and ∠2 satisfy the condition of alternate interior angles.

Answer:

D. Alternate Interior Angles