What does the Consecutive Interior Angles Converse tell us?
Yes (Consecutive Interior Angles Converse)
Practice makes perfect
Both angles are between the two lines and on the same side of the transversal. Therefore, they can be classified as consecutive interior angles. According to the Consecutive Interior Angles Converse, if these angles are supplementary, the lines cut by the transversal are parallel. Notice that the two given angles are indeed supplementary!
69^(∘)+111^(∘)=180^(∘),
Therefore, it must be true that m ∥ n.
