Answer:
x = 2
z = 111°
Step-by-step explanation:
Angles having measures (7x + 55)° and (14x + 41)° are the vertically opposite angles.
Therefore, both the angles will measure the same.
(7x + 55) = (14x + 41)
7x - 14x = 41 - 55
-7x = -14
x = 2
Measure of angle (7x + 55)° = 7(2) + 55
= 14 + 55
= 69°
Since, angles measuring 69° and z° are the linear pair of angles,
69° + z° = 180°
z = 180 - 69
z = 111°
