SOLUTION: y and 2x are vertical to one another. y+x+y+5=180 what is y and x?

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Question 1208265: y and 2x are vertical to one another.
y+x+y+5=180
what is y and x?
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since wording is mysterious, I will decipher/edit it in this way 

    y and 2x are vertical highlight%28angles%29 to one another.
    y+x+y+5=180
    what highlight%28cross%28is%29%29 are y and x?

                        Solution 

From the problem, we have these two equations

    y = 2x                    (1)    (vertical angles)

    y + x + y + 5 = 180       (2)    (given)


Substitute (1) into (2)

    2x + x + 2x + 5 = 180

    5x = 180 - 5 

    5x = 175

     x = 175/5 = 35.


     y = 2x = 2*35 = 70.


ANSWER.  x= 35,  y= 70.

Solved.



Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume y and 2x are measures in degrees of 2 vertical angles.

Since vertical angles have equal measures, y = 2x

system%28y%2Bx%2By%2B5=180%2Cy=2x%29

Substitute 2x for y in the first equation:

2x%2Bx%2B2x%2B5=180
5x%2B5=180
5x=175
x=35%5Eo

y = 2x so

y=2%2A35%5Eo

y=70%5Eo

x=35o and y=70o

Edwin