Answer:
x = 5 , z = 80
Step-by-step explanation:
(7x 45) and (6x + 70) are adjacent angles on a straight line and sum to 180°
7x + 45 + 6x + 70 = 180 , that is
13x + 115 = 180 ( subtract 115 from both sides )
13x = 65 ( divide both sides by 13 )
x = 5
Then
7x + 45 = 7(5) + 45 = 35 + 45 = 80
z and (7x + 45) are vertically opposite angles and are congruent , so
z = 80
