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

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)   (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)   (Show Source): You can put this solution on YOUR website!

First angle: degrees
Second angle: degrees
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
the vertically opposite angles when 2 lines intersect are equal

add-7x to both sides

divide by -2

If x= 6 , 5x= 30
to check
7x-12=7*6-12
=30
The angles are 30 deg.
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