Help!!! with math?

Question

ok i have no clue what to do!!!
the question is : vertex angle A of isosceles triangle ABC measures 20 degrees more than 3 times angle B. find angle C.

Please show work!! thanks

Answer 1

Don't panic ok? Math is something that's dead. It can't kill you so don't worry, we'll get through this =D

Let the sign (>)= angle

Lets start off with what you know:

1) Isosceles Triangle means that the bottom 2 angles (in this case >B and >C) is the SAME THING. >B = >C!!!! Remember that.

2) >A is 20 degrees more than 3 times >B. Now how the hell do you write that? Well, I'll show you:
>A= (3)>B + 20
Now look at what I've wrote. I wrote that >A is 3 times the >B plus 20. Yay.

3) All the angles of a Triangle adds up to how many degrees? If you say 180, you are RIGHT! So it makes sense to write:
(>A) + (>B) + (>C) = 180
Yay.

Now all you have to do is substitute what we already know. We know that [>A= (3)>B + 20] , and that [>B = >C]

(>A) + (>B) + (>C) = 180
which becomes
[(3)>B + 20] + [>B] + [>B] = 180

You see, towards the end I substituted >C with another >B because they are the same damn thing. =D Yay.

Now we add Like-terms.

[(3)>B + 20] + [>B] + [>B] = 180
becomes
(5)>B + 20 = 180

See how I got that? I just added the 2 angle Bs in the end with the 3 we started out with. >B + >B + (3) >B = (5)>B Yay!

Now we subtract 20 on both sides of the equation. Giving you:

(5)>B = 160

Now lets divide the 5 on both sides so we can get >B alone by itself. Giving you:

>B= 32 degrees!
which means that
>C= 32 degrees!

We stated before that >B is the same as >C so there is your answer: >C= 32 degrees!!!!!!!!!!!!!!! YEA BABY WE DID IT! WOOOO We solved it YES!!!
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Now lets check! If we did this correctly, >A + >B +>C should equal 180 right? Damn straight. Lets first find what >A is equal to.

>A= (3)>B + 20
Substitute 32 for B...
>A= (3)(32) + 20
which means that
>A=116 !!!!!!!

Now lets plug all the angles in. >A= 116, >B= 32, and >C=32

Does 116 + 32 + 32 give you 180?

OMG IT DOES IT DOES IT DOES!!!! YES!!!! HAHA

Answer to your question:
>C= 32 degrees.

Hope I helped you ALOT hahahaha You're welcome. =D

Answer 2

Since it is an isosceles triangle than that would mean that B and C have the same angle measure since A is the vertex.

So you would use:
(3B + 20) + B + B = 180
Since B and C are the same, you can just use B twice. And angel A would equal 3B + 20. And all triangles have angles that add up to 180. Then just solve for B.
5B + 20 = 180
5B = 160
B = 32
Thus C = 32

Answer 3

hi...
let angle B =x
so,angle A=20+3x
since it z an isosceles triangle then side AB=AC.as a result angle ABC=anglACB
then also angle C=x
to find x
20+3x+x+x=180
20+5x=180
5x=160
x=32
so angle C=32

Answer 4

let me see if i can help
an isosceles triangle is a triangle having two sides of equal length
a triangel is equals to 180 so. . .
A= 20+3x
B=x
C=x
add all the x's together and the 20
5x+20= 180
5x=160
x=32

i think that's right. i hope i helped

Answer 5

what the ****??????? what happened to 2+2?