Answer:
The answer to your question is ∠2 = 130°
Explanation:
Data
m∠1 + m∠5 = 100
From the picture, we notice that ∠1 and ∠5 are corresponding angles so they measure the same.
∠1 + ∠1 = 100
2∠1 = 100
∠1 = 100/2
∠1 = 50°
From the picture, we know that ∠1 and ∠2 are supplementary, then,
∠1 + ∠2 = 180
-Solve for ∠2
∠2 = 180 - 50
-Result
∠2 = 130°