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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.

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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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