I have to fill in the blanks of this chart, and I understand this math but this is very time consuming and I'm trying to get my assignments in. The picture is attached below, I would appreciate help more than anything, I have such a busy schedule.

Question

anonymous · Answer

Pretty please help ^_^

jim_thompson5910 · Answer

"The picture is attached below"

you forgot the pic

anonymous · Answer

Here is the photo

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

ok, thank you

jim_thompson5910 · Answer

and you weren't able to get started at all? or do you have some work done already?

anonymous · Answer

No, not really. I just opened this assignment and have been looking at it for awhile, it's honestly confusing me because my teachers didn't explain how to get this done @jim_thompson5910

jim_thompson5910 · Answer

it says "D, F, and E are colinear"

what does "colinear" mean?

anonymous · Answer

Points that are on the same line. @jim_thompson5910

jim_thompson5910 · Answer

correct, so that means we know that angle DFE is a straight angle

therefore, angle DFE = 180 degrees

agreed?

anonymous · Answer

I see. Yes, agreed @jim_thompson1590

anonymous · Answer

@jim_thompson5910 *

jim_thompson5910 · Answer

a linear pair is where you have 2 angles such that

a) they form a straight angle (ie they are supplementary)

AND

b) they are adjacent

jim_thompson5910 · Answer

angles 1 and 2 fit that description since they are supplementary and adjacent

anonymous · Answer

So I put <1 and <2 form a linear pair because they are supplementary and adjacent. Correct? And wow, thank you so much, you're helping me out a lot. @jim_thompson5910

jim_thompson5910 · Answer

yep that is correct

jim_thompson5910 · Answer

<1 is supplementary to <2 because we have a linear pair and because D,F,E are colinear. This is kinda redundant in my view and this line isn't really needed.

anonymous · Answer

Okay cool, so that gets the second box filled in. And how about the third and fourth one?

jim_thompson5910 · Answer

why is <1 + <2 = 180 true?

anonymous · Answer

Well. It looks like they're supplementary to each other and both of them add up to 180. @jim_thompson5910

jim_thompson5910 · Answer

m< 1 + m< 2 = 180 simply by the definition of what supplementary means

jim_thompson5910 · Answer

so yeah you have it correct

anonymous · Answer

Great! And what about m<1 + m<1 = 180°? @jim_thompson5910

jim_thompson5910 · Answer

what are your thoughts on that one?

anonymous · Answer

If it's m<1 twice, then it would be 180°. But how would I explain that? @jim_thompson5910

jim_thompson5910 · Answer

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