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

c

Explanation:

Answer 2

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.