Question

the measures of angles 2 and 3 are
supplementary
because they are
consecutive interior

this image shows two parallel lines cut by a transversal.

Explanation:

Consecutive interior angles are formed when two parallel lines are cut by a transversal. These angles lie between the two parallel lines and on the same side of the transversal. The sum of consecutive interior angles is \(180^{\circ}\), which means they are supplementary. In the given diagram, angles \(2\) and \(3\) fit this definition as they are between the parallel lines and on the same side of the transversal.

Answer:

The measures of angles \(2\) and \(3\) are supplementary because they are consecutive interior angles.