Find the value of x and y. Then find the measure of each labeled angle.
(x + 55)
(3x - 5)

3x+6) = (4x-12) [corresponding angle]

x = 18°

3x+6 = 60°

4x-12 = 60°

x=30

3x-5=85

x+55=85

Step-by-step explanation:

Solve by using the system of equations

3x-5=x+55

add 5 to both sides

3x=x+60

subtract x from both sides

2x=60

divide by 2 from both sides

x=30

Now plug in x=30 for each expression

3(30)-5=90-5=85

30+55=85

since 85=85, x=30 satisfies this expression.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)