Question

Solve for the missing angle measures
(picture in comments)

Answer 1

You know that a + b + c = 180° right?
and a if you have a straight line that also equals 180° right? so you can set up 4 different equations to solve for this.

Answer 2

i'm sorry but i'm not even sure how to begin to solve this.

Answer 3

Well you have four variables and four equations you can set up
1) a + b + c = 180
2) a + z = 180
3) b + (z+10) = 180
4) a + (a+13) = 180

Answer 4

Then you can solve
2) in terms of a =
3) in terms of b =
4) in terms of c =
and then substitute those back into the first equation.

Answer 5

First what do a, b, and c equal?

Answer 6

60?

Answer 7

Nope, they all equal something different.

Answer 8

In your picture that is a z right? not a 2.

Answer 9

yeah its a z

Answer 10

Alrighty, so if we solve for b in my equation I would get
b = 180 - z - 10
so b = 170 - z
Can you solve for a and b the same way?

Answer 11

a and c sorry.

Answer 12

a=180-a-13
a=167-a

Answer 13

c=180

Answer 14

in your answers you need to add -z to the right hand side of them, but that's correct if you do that.

Answer 15

a=180-a-13-z
c=180-z

Answer 16

1) a + b + c = 180
2) a + z = 180
3) b + (z+10) = 180
4) c + (z+13) = 180
sorry this is what the equations should be (I messed up the last equation.)

Answer 17

c=180-z-13
c=167-z

Answer 18

sorry sorry sorry.
2) a + (z+13) = 180
3) b + (z+10) = 180
4) c + z = 180
This is how it should be, but you got the right method and answers.
So now we have
a = 167 - z
b = 170 - z
c = 180 - z
Now we can plug that back into equation 1) and get our answer in terms of only z.

Answer 19

167+170+180=180
????????? I got lost

Answer 20

We have a + b + c = 180
a = 167 - z
b = 170 - z
c = 180 - z
(167 - z) + (170 - z) + (180 - z) = 180
Then solve for z

Answer 21

um?

Answer 22

If you combine that a little you would get
-3z + 167 + 170 + 180 = 180 so now can you solve for z?

Answer 23

-3z+517=180
-3z=-337
z=112.3

Answer 24

Yup! now all you need to do is plug z back into the 3 other equations to get a b and c
a = 167 - z
b = 170 - z
c = 180 - z

Answer 25

a=167-112.3
a=54.7

b=170-112.3
b=57.7

c=180-112.3
c=67.7

Answer 26

Yup! And you can check your answer by plugging back a b and c to the original equation
a + b + c = 180
54.7 + 57.7 + 67.7 = 180
It equals 180.1 but that is because you used 112.3 instead of 112.33333333 so it is the correct answer!

Answer 27

Omg thank you so much XD !!!!

Answer 28

Yup! No problem :D