Given the figure, find the values of x and z.

Answer:
[tex]z = 62 \\ 6x + 52 = 180 - 62 \\ 6x = 66 \\ x = 11[/tex]
Answer:
x = 11 , z = 62
Step-by-step explanation:
62° and (6x + 52)° are adjacent angles on a straight line and sum to 180°
62 + 6x + 52 = 180
6x + 114 = 180 ( subtract 114 from both sides )
6x = 66 ( divide both sides by 6 )
x = 11
62° and z° are vertically opposite angles and are congruent , then
z = 62