Question

1. choose the correct answer.which pair of angles are same - side exterior angles? are they congruent or supplementary?a. \\( \angle 6 \\) and \\( \angle 8 \\)b. \\( \angle 4 \\) and \\( \angle 8 \\)c. congruentd. supplementarye. \\( \angle 2 \\) and \\( \angle 8 \\)

Explanation:

Step1: Recall the definition of same - side exterior angles

Same - side exterior angles are two angles that are on the same side of the transversal and outside the two parallel lines.
For parallel lines \(l\parallel m\) and transversal \(t\), \(\angle2\) and \(\angle8\) are on the same side of the transversal \(t\) and outside the parallel lines \(l\) and \(m\).

Step2: Recall the property of same - side exterior angles for parallel lines

When two parallel lines are cut by a transversal, same - side exterior angles are supplementary. The sum of the measures of same - side exterior angles is \(180^{\circ}\).

Answer:

First blank: e. \(\angle2\) and \(\angle8\); Second blank: d. supplementary