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: Identify parallel - line properties

In a trapezoid with one pair of parallel sides, when considering a transversal (the non - parallel sides), we use angle - pair relationships.

Step2: Analyze consecutive interior angles

$\angle1$ and $\angle4$ are consecutive interior angles, and $\angle2$ and $\angle3$ are consecutive interior angles. Consecutive interior angles formed by parallel lines and a transversal are supplementary. That is, $\angle1+\angle4 = 180^{\circ}$ and $\angle2+\angle3=180^{\circ}$.

Answer:

$\angle1$ and $\angle4$ are supplementary and $\angle2$ and $\angle3$ are supplementary because they are consecutive interior angles formed by parallel lines and a transversal.