Answer:
x = 11, z = 104
Step-by-step explanation:
11x - 17 and 10x - 34 form a straight angle and are supplementary
Sum the 2 angles and equate to 180
11x - 17 + 10x - 34 = 180 ← simplify left side
21x - 51 = 180 ( add 51 to both sides )
21x = 231 ( divide both sides by 21 )
x = 11
Hence
11x - 17 = (11 × 11) - 17 = 121 - 17 = 104
11x - 17 and z are vertical angles and congruent, hence
z = 104