Question

Find the values of the variables.

A) x = 8, z = 172
B) x = 8, z = 132
C) x = 8, z = 112
D) x =
5
8
, z =
705
4

Answer 1

x=8

z=132

Explanation:

We know that 6x and 4x+16 are vertical angles, so they are equal

6x= 4x+16

Subtract 4x from each side

6x-4x = 4x-4x+16

2x =16

Divide each side by 2

2x/2 =16/2

x =8

We also know that 6x and x form a straight line

6x+z = 180

6(8) + z =180

48+z =180

Subtract 48 from each side

48-48 +z =180-48

z = 132