Answer:
x =18 , z =77
Step-by-step explanation:
Vertically Opposite Angles,
[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]
Since angle x and angle 7x-23 lies on the same straight line,
[tex]z + 7x - 23 = 180[/tex]
Substitute x = 18 into the equation,
[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]
