Angle Measure: 98^(∘) Explanation: See solution.
Practice makes perfect
Let's consider the given diagram.
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^(∘)
