SOLUTION: A pair of vertical angles have measures (2z+43)° and (−10z+25)° . What is the value of z?

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Question 1068117: A pair of vertical angles have measures (2z+43)° and (−10z+25)° .
What is the value of z?
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since they're vertical,
2z%2B43=-10z%2B25
12z=-18
z=-18%2F12
z=-3%2F2

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
They are equal
2z+43=-10z+25; add 10z to both sides
12z=-18, subtracting 43 from both sides
z=-1.5
-3+43=15+25
They both equal 40 to check