Answer:
x = 5, y = 12
Step-by-step explanation:
I highly encourage you to follow along drawing the diagram and filling the measurements in as we go along for better understanding.
straight line angles add up to 180 degrees
x) 125 + 12x - 5 = 180
125 - 5 + 12x = 180
120 + 12x = 180
12x = 180 - 120
12x = 60
x = 5
y) vertically opposite angles are equal hence the lower parallel line will have 125 to the left of 12x - 5.
co-interior angles: - inside parallel lines
- same side of the transversal
- add up to 180
-the left of the transversal will have 125 at the bottom and 55 at the top
having that, 8y + 29 + 55 = 180
8y + 84 = 180
8y = 180 - 84
8y = 96
y = 12
