Question

Please help me out!! 20 points :))

Answer 1

x =18 , z =77

Explanation:

Vertically Opposite Angles,

`8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18`

Since angle x and angle 7x-23 lies on the same straight line,

`z + 7x - 23 = 180`

Substitute x = 18 into the equation,

`z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77`