Answer:
angles z and 9x + 41 are vertically opposite
Hence, 9x + 41 = z ------------------------(1)
Since a line makes an angle of 180 degrees,
and the angles z and 15x + 19 are made on a straight line
So,
z + (15x + 19) = 180
z + 15x = 161
z = 161 - 15x --------------------------(2)
Using the value of z from equation (2) in equation (1)
9x + 41 = 161 -15x
9x + 15x = 161 - 41
24x = 120
x = 5
Substituting the value of x in (1)
9(5) + 41 = z
45 + 41 = z
86 = z
Therefore,
x = 5
z = 86