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NARA [144]
3 years ago
11

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 t

he definition of supplementary. Given: s | | t Prove: 3, 5 are supplementary
Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

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\parallelt

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.

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