Answer:
x = 20, y = 52
Step-by-step explanation:
Since 4x and 5x are on a straight line, this means that both of these angles must add up to 180 degrees. Therefore you can make an equation where both of these angles equal to 180.
4x + 5x = 180
Combine like terms.
9x = 180
Divide both sides by 9.
x = 20
You can solve for y by making all the interior angles of this triangle add up to 180 degrees. First evaluate 4x using x = 20.
4(20) = 80
Add all of the interior angles up.
y + 48 + 80 = 180
Combine like terms.
y + 128 = 180
Subtract 128 from both sides.
y = 52
