solve for x and y then find the measurement of each angle

Answer:
x = 10
y = 40
Step-by-step explanation:
DE is a straight line so the sum of angles DBA and ABE is equal to 180
13x - 18 + 5x + 18 = 180 add like terms
18x = 180 divide both sides by 18
x = 10
Same rule applies when calculating value of y
3y - 52 + 2y + 32 = 180 add like terms
5y - 20 = 180 add 20 to both sides
5y = 200 divide both sides by 5
y = 40