Question

analyze the diagram below and answer the question that follows.

\\( \angle 2 \\) and \\( \angle 7 \\) form what type of angle pair?

a. corresponding angles
b. alternate interior angles
c. consecutive interior angles
d. alternate exterior angles

Explanation:

Step1: Recall angle - pair definitions

• Corresponding angles: Angles in the same relative position.
• Alternate interior angles: Between the two lines and on opposite sides of the transversal.
• Consecutive interior angles: Between the two lines and on the same side of the transversal.
• Alternate exterior angles: Outside the two lines and on opposite sides of the transversal.

Step2: Analyze \(\angle2\) and \(\angle7\)

• \(\angle2\) is outside the two lines \(a\) and \(b\) (assuming \(c\) is the transversal).
• \(\angle7\) is also outside the two lines \(a\) and \(b\).
• They are on opposite sides of the transversal \(c\).

Answer:

D. alternate exterior angles