To find the measure of ∠ 1, we will use the fact that alternate exterior angles are congruent when a transversal intersects parallel lines. Since 82^(∘) and ∠ 2 are alternate exterior angles and lines j and k are parallel, these angles are congruent.
Congruent angles have the same measure, so the measure of ∠ 2 is 82^(∘). Finally, note that ∠ 1 and ∠ 2 form a straight line.
Therefore, they are supplementary and the sum of their measures is 180^(∘). With this information, we can finally find the measure of ∠ 1.
m∠ 1+ 82^(∘)=180^(∘)
⇕
m∠ 1=98^(∘)
