Question

what is the relationship between ∠3 and ∠7?
a. corresponding angles
b. alternate interior angles
c. alternate exterior angles
d. consecutive interior angles
what is the relationship between ∠2 and ∠7?
a. corresponding angles
b. alternate interior angles
c. alternate exterior angles

Explanation:

• For the relationship between \( \angle3 \) and \( \angle7 \):
• Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. \( \angle3 \) and \( \angle7 \) are in the same relative position (lower - left at their respective intersections), so they are corresponding angles.
• For the relationship between \( \angle2 \) and \( \angle7 \):
• Alternate exterior angles are non - adjacent and on opposite sides of the transversal and outside the two lines. \( \angle2 \) is outside the two parallel lines \( m \) and \( n \) (assuming \( m\parallel n \)), \( \angle7 \) is also outside in a non - adjacent and opposite - side - of - transversal position relative to \( \angle2 \).

Answer:

• For the relationship between \( \angle3 \) and \( \angle7 \): A. corresponding angles
• For the relationship between \( \angle2 \) and \( \angle7 \): C. alternate exterior angles