Question

1. ∠3 and ∠6 are ____ because they are ____

congruent/corresponding angles
congruent/same - side interior angles
supplementary/same - side interior angles
supplementary/corresponding angles

Explanation:

Same - side interior angles are two angles that are on the same side of the transversal and between the two lines. In this case, \(\angle3\) and \(\angle6\) are between lines \(m\) and \(n\) and on the same side of the transversal. Supplementary angles are two angles whose sum is \(180^{\circ}\). For parallel lines \(m\) and \(n\) cut by a transversal, same - side interior angles are supplementary.

Answer:

supplementary/same - side interior angles