Question

Help meeee! (totally stressing!) In the diagram, lines m and n are parallel. If m <2 = 150 degrees, find the measure to the following angles (posting attachment below.) @johnweldon1993

Answer 1

<4 = ?
<6 = ?
<8 = ?
<7 = ?

Answer 2

@jim_thompson5910

Answer 3

do you have anything so far?

Answer 4

No, I don't know what to do. :/

Answer 5

do you see how angle 2 and angle 8 are vertical angles?

Answer 6

Yes I think so?

Answer 7

what is one property of vertical angles

Answer 8

That they opposite each other?

Answer 9

and what else

Answer 10

Ah..they have equal measures..?

Answer 11

correct

Answer 12

So..how can I use that in what I'm trying to solve?

Answer 13

well that means angle 2 and angle 8 are equal

Answer 14

How do I know what they are though, then I'll know the other one too..

Answer 15

they give you the measure of angle 2

Answer 16

at the top

Answer 17

Oh.. well how did they get that? I still have 3 angles to solve?

Answer 18

it's just given (assumed to be true)

Answer 19

...So how do I know what angle 4 and 7 are?

Answer 20

angle 2 and angle 4 are corresponding angles

Answer 21

since m || n, we know that angle 2 = angle 4

Answer 22

angle 4 = angle 6 because the two are vertical angles

Answer 23

So they're all like 150?

Answer 24

angle 2, angle 8, angle 4, angle 6

yep all 150

Answer 25

how about angle 7?

Answer 26

I have no clue @jim_thompson5910

Answer 27

angle 7 and 8 add to 180 degrees

Answer 28

angle 7 + angle 8 = 180

150 + x = 180

x = ??

Answer 29

30

Answer 30

so that is angle 7

Answer 31

Thank you! Could you help me with one more thing? It won't take as long I promise.

Answer 32

alright, go ahead

Answer 33

Hey I actually figured it out on my own! (yay!) thanks though!

Answer 34

you're welcome