Answer:
x = 16 and z = 84
Step-by-step explanation:
The 2 given angles are vertical and congruent, hence
7x - 16 = 6x ( subtract 6x from both sides )
x - 16 = 0 ( add 16 to both sides )
x = 16
Hence 6x = 6 × 16 = 96°
z and 6x form a straight angle and are supplementary, hence
z + 6x = 180
z + 96 = 180 ( subtract 96 from both sides )
z = 84
