Question

Put the steps in order to prove lines l and m are parallel, given angles 2 and 5 are supplementary

Answer 1

　　Angles 2 and 5 are supplementary, as this is given. Angles 2 and 5 add to 180 degrees, as this is the definition of supplementary angles. Angles 3 and 5 are also supplementary due to the vertical angle theorem. This also means they add up to 180 degrees from the definition of supplementary angles. Angle 2 then equals Angle 3 by substitution, thus proving line M is parallel to Line L by the converse of the same side interior angles theorem.

Answer 2

Plz help!

Answer 3

@satellite73 plz help

Answer 4

@amistre64 plz help

Answer 5

I was never proficient at geometric proofs. I get to about proposition 6 in Euclids elements and start to pass out :)

Are these the steps you determined?

Angles 2 and 5 are supplementary, as this is given.

Angles 2 and 5 add to 180 degrees, as this is the definition of supplementary angles.

Angles 3 and 5 are also supplementary due to the vertical angle theorem.
This also means they add up to 180 degrees from the definition of supplementary angles.

Angle 2 then equals Angle 3 by substitution, thus proving line M is parallel to Line L by the converse of the same side interior angles theorem.

Answer 6

Yes, are they true?

Answer 7

The correct order?

Answer 8

they appear to be fine by me; but i really havent a clue as to what a "correct" order would look like

Answer 9

google would be more conclusive ;)

Answer 10

Ok, thanks