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Mathematics 16 Online
OpenStudy (anonymous):

Help!!

OpenStudy (anonymous):

Ok so this is it

OpenStudy (anonymous):

ok so ths is the diffcult one for me

OpenStudy (imstuck):

I cannot read the protractor in the first few...35-38 I can't see it.

OpenStudy (imstuck):

Can you do those on your own?

OpenStudy (anonymous):

can you give me an example?

OpenStudy (anonymous):

Ok I fixed it

OpenStudy (anonymous):

there i wrote them by hand to save you the troube

OpenStudy (imstuck):

Thanks, that's perfect. In angle ADC, the only line you really have to worry about, per se, is the one with C at the end of it. That's the terminal end of the angle and the one that will give you the degree measure of the whole angle. The C crosses the protractor at 80 degrees, so the angle ADC is an 80 degree angle.

OpenStudy (imstuck):

ADF is a straight line and straight lines ALWAYS measure 180 degrees.

OpenStudy (anonymous):

oh wow am starting to get it

OpenStudy (imstuck):

With angle FDB, the B line goes through the protractor at either the 25 degree mark or the 155 degree mark. Because this angle is opened up very widely, it is not a 25 degree angle. 25 degrees is tiny. So this angle is a 155 degree angle.

OpenStudy (anonymous):

so you always go for the bigger one?

OpenStudy (imstuck):

You only go for the bigger number if the angle is opened past the halfway mark which is 90 degrees. Like this:

OpenStudy (anonymous):

would fde be 155 to?

OpenStudy (imstuck):

|dw:1405056874652:dw||dw:1405056944885:dw|

OpenStudy (imstuck):

Let me draw FDE for you...

OpenStudy (anonymous):

oh so it would be 35

OpenStudy (imstuck):

Oh yes! You're right! It's a small angle, smaller than the 90 degree half way point so it is acute.

OpenStudy (anonymous):

yess!

OpenStudy (imstuck):

You get it right? Angles that open up past 90 are obtuse and have the bigger number. Angles that open up less than 90 have the smaller number.

OpenStudy (anonymous):

y

OpenStudy (imstuck):

in #39, is EDC a straight line? I'm hoping it is...

OpenStudy (anonymous):

i do now

OpenStudy (anonymous):

not as straight as 40

OpenStudy (imstuck):

so it is NOT a straight line. Perfectly straight...that's what i need to know.

OpenStudy (anonymous):

its not perfectly straight once it passes d

OpenStudy (imstuck):

Ok, then let me have a look at this one. 40 is easy. Let me study this one for a tiny...

OpenStudy (anonymous):

ok!!

OpenStudy (imstuck):

ooh, this one's a doozy.

OpenStudy (anonymous):

hahahah

OpenStudy (imstuck):

Let me try to explain it the best that i can. Look at the problem on your paper and follow along as i type, ok?

OpenStudy (anonymous):

ok

OpenStudy (imstuck):

Angles CDT and TDE add up to equal the meaure of the whole angle which is CDE, right?

OpenStudy (imstuck):

Let me do that one again...

OpenStudy (anonymous):

ok

OpenStudy (imstuck):

Sorry...

OpenStudy (anonymous):

no its fine

OpenStudy (imstuck):

CDE = 44x-2 CDT = 34 Now here's the important part...

OpenStudy (anonymous):

im grateful you helping me!!

OpenStudy (imstuck):

TDE - CDT = TDE

OpenStudy (imstuck):

You're welcome

OpenStudy (imstuck):

Look at your picture. The whole angle is CDE which is 44x-2. The angle CDT is 34. When you take CDT away from CDE you're left with TDE. Do you see that?

OpenStudy (imstuck):

The equation is this:

OpenStudy (imstuck):

(44x-2) - 34 = 34x+4

OpenStudy (imstuck):

That is exactly what we said when we used the angle letters. These are the values for those angles. Solving that for x you do this:

OpenStudy (imstuck):

44x - 2 - 34= 34x + 4 44x - 36 = 34x + 4 44x-34x = 4 + 36 10x = 40 x = 4.

OpenStudy (imstuck):

Now that we know x is 4, we can substitute 4 back in for x in the angle 34x+4, which is TDE, the one they are looking for.

OpenStudy (imstuck):

34(4)+4=140

OpenStudy (imstuck):

Angle TDE = 140

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