Answer:
x = 4, z = 77
Explanation:
From the figure attached,
(15x + 43)° = (8x + 71)° [Vertically opposite angles]
15x - 8x = 71 - 43
7x = 28
x = 4
Therefore, (15x + 43)° = (15×4 + 43)°
= 103°
Now, z° + (15x + 43)° = 180° [Linear pair of angles]
z° + 103° = 180°
z° = 180 - 103
z = 77
Therefore, x = 4 and z = 77 is the answer.