SOLUTION: Hi I need help on a problem about angles that I am stuck on. I have been trying to solve the problem for the past 30 minutes and I need help. They is a vertical angle that is congr

Algebra ->  Angles -> SOLUTION: Hi I need help on a problem about angles that I am stuck on. I have been trying to solve the problem for the past 30 minutes and I need help. They is a vertical angle that is congr      Log On


   



Question 985999: Hi I need help on a problem about angles that I am stuck on. I have been trying to solve the problem for the past 30 minutes and I need help. They is a vertical angle that is congruent. One angle side is 140 degrees and the one congruent from it is (3y+2x) there is also one next to both of them that is (x+y) and it says solve for x and y and I need help. Thank you so much!
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


The two vertical angles have equal measure so the first equation is:

140 = 3y+2x

The 140° angle and the x+y angle form a linear pair, so the second equation is:

140+x+y = 180

So we need to solve this system of equations:

system%28140=3y%2B2x%2C140%2Bx%2By=180%29

I won't tell you the answer but if you solve the system by 
substitution, x comes out as a negative number and y is a 
positive number.

Edwin