Lines r and s are parallel. Find the measure of ∠2.

m∠7 = 65°

∠7 and ∠5 are supplementary, so 180° - 65° = ∠5.

∠5 and ∠3

add to 180°, so

180° - 115° = ∠3.

add to 180°, so

180° - 115° = ∠3.

∠3 and ∠1 are supplementary, so

180° - 65° = ∠1.

180° - 65° = ∠1.

∠1 and ∠2 are supplementary, so 180° - 115° = ∠2.

180° - 65° = 115°

180° − 115° = 65°

180° − 65° = 115°

180° − 115° = 65°

m∠2 = 65°