Given the figure below, find the values of x and z.
X =
(5x + 75)
X
85°
X
5

Answer:
x = 2 , z = 95
Step-by-step explanation:
(5x + 75)° and 85° are vertically opposite angles and are congruent (equal), then
5x + 75 = 85 ( subtract 75 from both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Also
z and 85° are a linear pair and sum to 180° , that is
z + 85 = 180 ( subtract 85 from both sides )
z = 95