Question

using what you know about angle - pairs formed by parallel lines and a transversal, how are ∠1, ∠2, ∠3, and ∠4 related in the trapezoid? explain.
∠1 and ∠ are and ∠2 and ∠ are because they are

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. In a trapezoid, there are two pairs of consecutive interior angles.

Step2: Identify angle pairs

In the trapezoid, $\angle1$ and $\angle3$ are consecutive interior angles, and $\angle2$ and $\angle4$ are consecutive interior angles.

Answer:

$\angle1$ and $\angle3$ are supplementary and $\angle2$ and $\angle4$ are supplementary because they are consecutive interior angles.