Question

based on the picture above, select the correct angle pair for ∠3 and ∠5
a corresponding angles
b alternate interior angles
c same-side interior angles
d same-side exterior angles
e alternate exterior angles

Explanation:

Step1: Recall definitions

• Corresponding angles: Angles in the same relative position.
• Alternate interior angles: Non - adjacent interior angles on opposite sides of the transversal.
• Same - side interior angles: Interior angles on the same side of the transversal.
• Alternate exterior angles: Non - adjacent exterior angles on opposite sides of the transversal.
• Same - side exterior angles: Exterior angles on the same side of the transversal.

Step2: Analyze \(\angle3\) and \(\angle5\)

\(\angle3\) is an interior angle (relative to the two non - horizontal lines \(l\) and \(m\)) and \(\angle5\) is an exterior angle. They are on the same side of the transversal \(p\).

Answer:

C. Same - Side Interior Angles