Question

1. in the figure below, ( ab ) is parallel to ( cd ).

which angle pair relates ( angle 4 ) and ( angle 5 )?
a. corresponding angles
b. alternate exterior angles
c. alternate interior angles
d. consecutive interior angles

Explanation:

Step1: Recall angle - pair definitions

• Corresponding angles: Angles in the same relative position. For example, \(\angle2\) and \(\angle6\).
• Alternate exterior angles: Angles outside the two parallel lines and on opposite sides of the transversal. For example, \(\angle1\) and \(\angle7\).
• Alternate interior angles: Angles inside the two parallel lines and on opposite sides of the transversal. For example, \(\angle3\) and \(\angle5\).
• Consecutive interior angles: Angles inside the two parallel lines and on the same side of the transversal.

Step2: Analyze \(\angle4\) and \(\angle5\)

• \(\angle4\) and \(\angle5\) are inside the parallel lines \(AB\) and \(CD\) and on the same side of the transversal.

Answer:

D. consecutive interior angles