find the measure of angle 8

Answer: 18
Step-by-step explanation:
First we need to solve for x to find the measure of the adjacent angle.
-6x+64 = 8x + 162
subtract 162 to leave x by itself
-6x- 98 = 8x
add 6x to both sides
-98 = 14x
now divide by 14
x = -7
Now solve one of the given equations to find the measure of the adjacent angle.
8(-7)+162
-56 + 162 = 106
Meaning the measure of angle 8 is 18
because they'll add up to 180(The measure of the line)
Answer:
measure of angle 8 is 16 6/7
Step-by-step explanation:
-6x+64=8x+62 because there is a transversal.
2=14x
x=2/14
so, now you have to find 8x+162. 163 1/7 degrees. (Plug in variables)
measure of the angle we just found + measure of angle 8 is 180 degrees.
(straight line definition) so 180-163 1/7= 16 6/7
measure of angle 8 is 16 6/7