Someone help explain how to find the answer.

Question

rootbeer003 · Answer

OH WAIT WOULD IT BE 110

rootbeer003 · Answer

nvm

mathmale · Answer

Because those 2 horizontal lines are parallel, the measures of angles 4 and 8 are the same.  

Can you find m<8?  If so, what would m<4 be?

rootbeer003 · Answer

by <8 you do mean just the 8 on the bottom part yes?

bmk614 · Answer

<8 just means angle 8

bmk614 · Answer

So given that angle 8=110, what is angle 4

rootbeer003 · Answer

oh wow im dumb

rootbeer003 · Answer

55

bmk614 · Answer

how did you get that? angle 4 and angle 8 should be the same

mathmale · Answer

Quoting BMK:  "So given that angle 8=110, what is angle 4?"

rootbeer003 · Answer

um i got confused because angle 4 is not in the exact place as the opposite and i figured it would be half as 110

mathmale · Answer

the fact that the almost-vertical line intersects the two PARALLEL lines tells you a lot.  Angles 4 and 8 are equal, and there are other geometric identities as well.

If you're given the measure of angle 8, denoted by m<8, then you've also been given the measure of angle 4.  What is it?

rootbeer003 · Answer

110

mathmale · Answer

110 what?  Otherwise, you're correct.

rootbeer003 · Answer

degrees

rootbeer003 · Answer

thank you guys for helping

mathmale · Answer

Cool.  Roger, over and out.  Where's my rootbeer?  ;)