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

              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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The solution to the system of equations (-2,2)