Question

HELP PLEASE ASAP!!!!

A pair of vertical angles has measures (2z+43)° and (−10z+25)° .

What is the value of z?

−32
−114 ​
​​−14
−31 ​ ​

Answer 1

see explanation

Explanation:

Vertical angles are congruent, hence

2z + 43 = - 10z + 25 ( add 10z to both sides )

12z + 43 = 25 ( subtract 43 from both sides )

12z = - 18 ( divide both sides by 12 )

z =
`(-18)/(12)` = -
`(3)/(2)`