Complete the two-column proof. Given: ∠2 and ∠5 are supplementary Prove: l is parallel to m Statements Reasons 1. _____________ 1. __________ 2. ∠ 3 ∠ 2 2. __________ 3. ∠ 3 and ∠ 5 are supplementary 3. _________ 4. _____________ 4. _____________ Ill attach the picture.

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Complete the two-column proof. Given: ∠2 and ∠5 are supplementary Prove: l is parallel to m Statements Reasons 1. _____________ 1. __________ 2. ∠ 3 ∠ 2 2. __________ 3. ∠ 3 and ∠ 5 are supplementary 3. _________ 4. _____________ 4. _____________ Ill attach the picture.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Ill give a medal and fan!
angle 2 equals angle 3 (vertically opposite angles) so angle 3 and angle 5 are supplementary so l is parallel to m ( as interior angles on same side of transversal are supplementary)

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Statements <2 and <5 are supplementary <2 <3 <3 and <5 are supplementary <2 + <5 =180° <3 + <5 =180° line l || line m Reasons Given Vertical Angle Theorem Converse of Same-Side Interior Angles Theorem Definition of Supplementary Angles Definition of Supplementary Angles Substitution
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