Answer:
x = 20 , z = 92
Explanation:
(6x - 28) and (9x - 92) are a linear pair and sum to 180° , then
6x - 28 + 9x - 92 = 180
15x - 120 = 180 ( add 120 to both sides )
15x = 300 ( divide both sides by 15 )
x = 20
then
6x - 28 = 6(20) - 28 = 120 - 28 = 92
z and ( 6x - 28) are vertically opposite angles and are congruent , so
z = 92