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Match the reasons with the statements in the proof if the last line of the proof would be 6. ∠1 and ∠7 are supplementary by definition. Given: s || t Prove: 1, 7 are supplementary 1. s||t Given 2. ∠5 and ∠7 are supplementary. Exterior sides in opposite rays. 3. m∠5 + m∠7 = 180° Definition of supplementary angles. 4. m∠1 = m∠5 Substitution 5. m∠1 + m∠7 = 180° If lines are ||, corresponding angles are equal.

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Answer:

Given : s||t

Exterior sides in opposite rays : ∠5 and ∠7 are supplementary

Definition of supplementary angles : m∠5 + m∠7 = 180°

If lines are ||, corresponding angles are equal : m∠1 = m∠5

Substitution : m∠1 + m∠7 = 180°

Following are steps to matches which can be defined as follows:

Given:  

  • [tex]\bold{s||t}[/tex]
  • [tex]\bold{\angle\ 5 \ and\ \angle\ 7}[/tex] are extra exterior sides in opposite beams.
  • Supplementary angles were defined as: [tex]\bold{m\ \angle\ 5 + m\ \angle\ 7 = 180^{\circ}}[/tex]
  • When lines are ||, corresponding angles are congruent: [tex]\bold{m \ \angle 1 = m \ \angle 5 }[/tex]
  • Substitution: [tex]\bold{m \angle 1 + m \angle 7 = 180^{\circ}}[/tex]

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brainly.com/question/2931620

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