SOLUTION: Can anyone help me with this problem? I have no idea where to even start?? Any help would really be appreciated! If 5x° and (7x – 12)° are the measures for vertical

Algebra ->  Length-and-distance -> SOLUTION: Can anyone help me with this problem? I have no idea where to even start?? Any help would really be appreciated! If 5x° and (7x – 12)° are the measures for vertical       Log On


   

Question 326287: Can anyone help me with this problem? I have no idea where to even start?? Any help would really be appreciated!

If 5x° and (7x – 12)° are the measures for vertical angles formed by two intersecting lines, what is the measure of each angle?
Found 3 solutions by nyc_function, Fombitz, mananth:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical angles equal each other.
In that case, equate both angles and solve for x.
5x = 7x - 12
5x - 7x = -12
-2x = -12
x = -12/-2
x = 6
Measure of angle 5x is 5 times 6 = 30 degrees.
Measure of angle (7x - 12) is 7 times 6 - 12 = 30 degrees.
Do you see that both angles equal 30 degrees?

This means they are both vertical angles because vertical angles equal each other.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B7x-12=180
12x=192
x=16
First angle: 5x=80 degrees
Second angle: 180-80=100 degrees

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the vertically opposite angles when 2 lines intersect are equal
5x=7x-12
add-7x to both sides
5x-7x=7x-7x-12
-2x=-12
divide by -2
-2x%2F-2=%28-12%29%2F-2
x=6
If x= 6 , 5x= 30
to check
7x-12=7*6-12
=30
The angles are 30 deg.