Answer:
Angle 4 = 135, angle 5 = 45
Step-by-step explanation:
Consecutive interior angles are supplementary, therefore angle 5 + angle 8 = 180 degrees. Since the complement of 5 is the supplement of 4, we can write the system of equations.
180 - x = 90 - y or -x + y - 90 - 180 or -x + y = -90 or x - y = 90
x + y = 180
x - y = 90
Where angle 4 is x and angle 5 is y.
y = 180 - x
x - (180 - x) = 90
x - 180 + x =90
x + x = 270
2x = 270
x = 135
By plugging that in to an equation we can solve for y.
y = 45
