Question

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

Answer 1

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;

`2z+43 = -10z+25`

Add 10z to both sides we get;

`12z+43 = 25`

Subtract 43 from both sides we get;

`12z+43-43= 25-43`

Simplify:

`12z= -18`

Divide both sides by 12 we get;

z = -1.5

therefore, the value of z is -1.5

Answer 2

for finding z, (2z+43)° = (−10z+25)°
2z+43= −10z+25 2z+10z= 25 - 43, 12z= -18, z=-18/12= -3/2