Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)

Answer:
x = 4
z = 92°
Step-by-step explanation:
From the picture attached,
Two straight lines are intersecting each other at a point so that,
(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]
25x + 80 = 180
25x = 100
x = 4
Therefore, measure of (13x + 40)° = 13×4 + 40
= 52 + 40
= 92°
Since, z° = (13x + 40)° [Vertically opposite angles]
Therefore, z° = 92°