Answer:
x = 14 and z = 96
Step-by-step explanation:
The 2 marked angles are vertical and congruent, hence
9x - 42 = 5x + 14 ( subtract 5x from both sides )
4x - 42 = 14 ( add 42 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Hence 5x + 14 = (5 × 14) + 14 = 70 + 14 = 84°
z and 5x + 14 form a straight angle and are supplementary, hence
z + 84 = 180 ( subtract 84 from both sides )
z = 96
