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Given: Angles 2 and 5 are supplementary.


Prove: lines l and m are parallel.


MATCH the statement to its corresponding reason.


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

Given: Angles 2 and 5 are supplementary. Prove: lines l and m are parallel. MATCH the statement to its corresponding reason. Statements: 2 and 5 are supplementa class=

Verified Answer :

---------------------------------------------------------------------              STATEMENTS               |           REASONS---------------------------------------------------------------------<2 and <5 are supplementary             | Given<2 + <5 = 180                                         | Def. of Supplementary Angles<2 = <3                                                   | Vertical Angle Theorem<3 + <5 = 180                                         | Substitution<3 and <5 are supplementary             | Def. of Supplementary Anglesline l // line m                                        | Converse of Same-side Interior                                                                | Angles---------------------------------------------------------------------

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