If a transversal intersects two parallel lines, then ________angles are supplementary

acute
alternate interior
same-side interior
corresponnding

Question

If a transversal intersects two parallel lines, then ________angles are supplementary

acute
alternate interior
same-side interior
corresponnding

jim_thompson5910 · Answer

Here are 2 parallel lines

|dw:1351822967754:dw|

jim_thompson5910 · Answer

and now here is a transversal line

|dw:1351822991205:dw|

jim_thompson5910 · Answer

Here are a pair of angles that are always supplementary (ie they add to 180 degrees)

|dw:1351823034251:dw|

jim_thompson5910 · Answer

What kind of angles did I just mark?

anonymous · Answer

well it looks like a right angle

anonymous · Answer

he means, which angle pair out of the 4 you listed did he mark

jim_thompson5910 · Answer

ignore what it looks like (it's not exactly drawn to scale anyway)

but what would you call these two angles?

anonymous · Answer

not acute right?

jim_thompson5910 · Answer

it's one of the four listed in your answer choices

anonymous · Answer

yeah acute is one of them

jim_thompson5910 · Answer

oh sry, didn't see that, no it's not acute

jim_thompson5910 · Answer

because one of the angles can be obtuse

anonymous · Answer

no problem...yeah I have no clue

jim_thompson5910 · Answer

look at my last drawing, are those angles on the opposite sides of that transversal line? or are they on the same side of that transversal line?

anonymous · Answer

same

jim_thompson5910 · Answer

so they are same side interior angles (because they are on the inside of the parallel lines)

anonymous · Answer

Okay gotcha! Thank you!(:

jim_thompson5910 · Answer

np