Answer:
Vertical angle are those angles which are opposite to each other and are equal.
As per the statement:
A pair of vertical angles have measures (2z+43)° and (−10z+25)°
By definition we have;
[tex]2z+43 = -10z+25[/tex]
Add 10z to both sides we get;
[tex]12z+43 = 25[/tex]
Subtract 43 from both sides we get;
[tex]12z+43-43= 25-43[/tex]
Simplify:
[tex]12z= -18[/tex]
Divide both sides by 12 we get;
z = -1.5
therefore, the value of z is -1.5
