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Mathematics 17 Online
Nicole:

http://prntscr.com/q59t1a

Nicole:

@Hero

Hero:

|dw:1575324769286:dw|

Hero:

|dw:1575324803921:dw|

Hero:

So we know that \(m\angle A + m\angle B + m\angle C = 180^{\circ}\)

Hero:

We also know that since \angles C and \(8x + 15\) are supplementary, \(m\angle C + m\angle(8x+15) = 180^{\circ}\)

Hero:

So \(C = 180 - 8x + 15\)

Hero:

That's your hint.

Nicole:

hmm

Nicole:

180-8x+15 is -8x+195

Nicole:

Correct? @Hero

Hero:

Hang on. It's \(180 - (8x + 15)\)

Hero:

You still have to solve for \(x\) btw

Nicole:

when I simplify it, it is −8x+165

Hero:

Okay, so that is your "C"

Hero:

Now solve for \(x\) by applying \(m\angle A + m\angle B + m\angle C = 180^{\circ}\)

Hero:

Once you find \(x\), apply it to the expression for \(C\) to find its measure

Nicole:

so (4x+5)+(3x+20)+(-8x+165)=180

Nicole:

x=10 (-8(10)+165) = 85

Nicole:

thats none of the choices

Hero:

Well, I would recommend you check your work. You know Angles A, B, and C must sum to 180

Nicole:

yes I added them all and equaled it to 180

Hero:

You may have found C but you're unsure. Use the x you found to find the values of A and B.

Hero:

Go back to the original question. It says to "Find the value of the EXTERIOR angle

Hero:

Which means you have to calculate 8x + 15

Nicole:

Sorry I just checked it is 95

Nicole:

since 8(10)+15=80+15=95

Hero:

Very good

Nicole:

ty (: making new post one sec

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