Question

there are some special relationships between angles when the lines cut by the transversal are parallel. complete each statement about the non - adjacent exterior angles. the angles on the same side of the transversal are? the angles on opposite sides of the transversal are?

Explanation:

When two parallel lines are cut by a transversal, the non - adjacent exterior angles on the same side of the transversal are supplementary (their sum is \(180^{\circ}\), e.g., \(130^{\circ}+ 50^{\circ}=180^{\circ}\)). The non - adjacent exterior angles on opposite sides of the transversal are congruent (they have the same measure).

Answer:

The angles on the same side of the transversal are supplementary. The angles on opposite sides of the transversal are congruent.