Question

May someone explain to me how to do this?
Thanks!
http://prntscr.com/agl0qs

Answer 1

@texaschic101

Answer 2

@skullpatrol

Answer 3

What is the total measurement of

A + B = ?
E + F = ?
C + D = ?

Answer 4

180 degrees

Answer 5

Correct, so would you agree that the statement 180 - B = A is valid?

Answer 6

Yes.

Answer 7

Great, so let's make the other two just like that to get:

\[180 - B = A\]
\[180 - C = D\]
\[180-E = F\]

Answer 8

kk

Answer 9

Now they wanted us to find the total of these 3 angles, just to find the sum, we add:

\[(180-B)+(180-C)+(180-E)=D+E+F\]

So we should rearrange this:

\[(180+180+180) - (B+C+E) = D+E+F\]

Now, what's 180+180+180?

Answer 10

540

Answer 11

I appreciate you working this out with me so I can learn.
You're a great helper! :)

Answer 12

Anytime!

So we have

\[540 - (B+C+E) = D+E+F\]


We actually do know B+C+E. What is it? (Remember: Think Triangles)

Answer 13

180
So 540 - 180 = 360
That's my answer?

Answer 14

Yeppers!

\[D+E+F = 540-180=360\]
Nice

Answer 15

But is that even real? D + E + F - 360?
Looking at the diagram? :/

Answer 16

Like to me it seems it doesn't fit... :/
I don't know why...

Answer 17

Yeah,

If you eyeball the the diagram, you can see all 3 of those angles are obtuse, which are angles over 90 degrees and below 180. So the range of D+E+F can be as small as 273 and as large as 537

Answer 18

Okay. Thanks, Bro!
I have another one. I'll try and do it myself but if I need help, can you help me again? :)

Answer 19

I don't think I would to be honest, because I have to head to work. I always do check my phone before I lock it up and clock in, so maybe in around 45 minutes when I check it I will for a minute or two.

Answer 20

Okay, Thanks! I'll try and do it fast and see if you can check it.

Answer 21

Alright, ill be on mobile