Question

4 ∠3 and ∠6 are ______ because they are

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

Explanation:

Step1: Recall the definition of same - side interior angles

Same - side interior angles are two angles that are on the same side of the transversal and between the two parallel lines. In the given figure, if we assume lines \(m\) and \(n\) are parallel (as per the angle - pair context in such problems), \(\angle3\) and \(\angle6\) are on the same side of the transversal and between the two lines (assuming \(m\parallel n\)).

Step2: Recall the property of same - side interior angles

The sum of same - side interior angles is \(180^{\circ}\). Angles whose sum is \(180^{\circ}\) are called supplementary angles.

Answer:

supplementary/same - side interior angles