Question

@e.mccormick

Answer 1

Whee. Now, where were we before the web site exploded?

Answer 2

@e.mccormick

Answer 3

\[\text{Total sum of angle of n-gon} = 180^\text{o} (n-2)\]

Answer 4

So yes.

Answer 5

So for 29-gon, it has sum of angle measures \(180^\text{o}(27) = \cdots\)

Can you figure it out?

Answer 6

She did. Her answer was marked with ***

Answer 7

Didn't know what *** means, ok.

Answer 8

hehe. Yah, she does the homework, thinks she has it right, but wants to be sure. If she is not, I work out with her why she is getting it wrong.

Answer 9

Thanks E. Sorry I have drama going down at my house...

Answer 10

Whee. There was a power outage here earlier thanks to a fire.

Answer 11

That sucks D: Can we do this later? Im sorry its a lot of drama here

Answer 12

kk

Answer 13

/cheer

Answer 14

Yep!

Answer 15

Diagram?

Answer 16

=(

Answer 17

Am I right? lol

Answer 18

Not correct. Lets see where you went wrong in the math 5 sided, so the total is 180(5-2)=540. Then from 540, subtract the three knowns. Did you remember to subtract the 90? The one with the little right corner mark?

Answer 19

Yep!

Answer 20

Hmmm... Never saw an exterior angles problem before. LOL. Looking at references.

Answer 21

mk lol

Answer 22

Hmmm... not finding an easy formula for that... Not 100% sure what it would be. OH! Wait... Because 180*2=360, which would be the sum of the other two lines. 360-260=100, means the inner angles must sum to 100. If the 2 inner angles are 100, then the 3rd inner angle is 80. However, that would be inner, not exterior.

Answer 23

>< So confused

Answer 24

Well, an exteripr and an interior angle add to 180 degrees. You know that part?

Answer 25

No xD

Answer 26

That is the big idea of exterior angles. So we know an exterior and the interior it corresponds to = 180. They make a line.

Answer 27

With me to that point?

Answer 28

Yeah

Answer 29

Let me call all exterior angles in general E and all interior in general I.

If 1E+1I=180, then 2E+2I=2*180=360

That was where I got the 360 from.

Answer 30

And we were told that E+E=260, so 2E=260.

That means I can find out what 2I is. 360-260=100.

Now, I don't really know what either of the individual angles are. All I know is that both together add to 100. OK?

Answer 31

Okay o.o

Answer 32

Well, do you get what I did? How I went from two exterior angles as a general value to two interior angles?

Answer 33

Yah.

Answer 34

Because those two interior define the third exterior.

Answer 35

/cheer

Answer 36

Back on track. And there is probably a faster way to solve than then I did! LOL

Answer 37

Yep!

Answer 38

OK. So, do you know how to start this one?

Answer 39

No clue

Answer 40

Fist, w need to find x. The good news is, in a parallelogram, the opposite angles are equal.

Answer 41

3x - 28=2x - 12

Solve for x.

Answer 42

Yes! Now, put that back in to get one of the two corners they gave a formula for. Both ar the same...

Answer 43

You lost me.

Answer 44

3x - 28
3(16)-28
48-28
20

2x - 12
2(16) - 12
32-12
20

20=20. Both the outer corners are 20.

Answer 45

We used the fact that m<2 = m<4 to find both 2 and 4. There is another fact we can now use:
m<3 = m<1

Answer 46

Oooo! I didnt know what you meant by plugging it in, now I get it

Answer 47

Lets take a couple other facts:

A 4 sided item has 180(4-2)=360 degrees in it.
Now, we know m<4=20 and m<2=20, so both of those together are 40.

So what is the total of the other two sides?

Answer 48

Wel, 329,,, but then oyou cut that in half and the answer is 160! You went past where I was. Hehe.

Answer 49

320...

Answer 50

Yes! 160. That is the answer.