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 ( angle 3 ) and ( angle 4 )?
a. alternate exterior angles
b. alternate interior angles
c. corresponding angles
d. vertical angles

Explanation:

Step1: Recall definitions

• Alternate Exterior Angles: non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.
• Alternate Interior Angles: non - adjacent angles that lie between the two parallel lines and on opposite sides of the transversal.
• Corresponding Angles: angles that are in the same relative position with respect to the parallel lines and the transversal.
• Vertical Angles: angles opposite each other when two lines intersect.

Step2: Analyze \(\angle3\) and \(\angle4\)

\(\angle3\) and \(\angle4\) lie outside the parallel lines \(m\) and \(n\) and on opposite sides of the transversal \(t\).

Answer:

A. Alternate Exterior Angles