Question

Match the reasons with the statements in the proof if the last line of the proof is: 6. ∠3 and ∠5 are supplementary because of the definition of supplementary. Given: s | | t Prove: 3, 5 are supplementary

Answer 1

Answer with Step-by-step explanation:

We are given that

Line s is parallel to line t.

To prove that : angle 3 and angle 5 are supplementary.

1.$s\parallel$$t$

Reason: Given

2.Angle 1 and  angle 3 are supplementary

Reason: Exterior sides in opposite rays

3.$\angle 1+\angle 3=180^{\circ}$

Reason: By definition of supplementary

4.$\angle 1=\angle 5$

Reason: If lines are parallel , then corresponding angles are equal.

5.$\angle 3+\angle 5=180^{\circ}$

Reason: Substitution

Hence, proved.