Determine the value of x and y

x=65, y=60

Step-by-step explanation:

x=65--->corrosponding angles with the triangle

x+y+55=180--->linear pair

(65)+y+55=180

y=60

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1