Two lines and a ray intersect to form five angles. The angles are numbered in the diagram 1 through 5. If the measure of ∠4 is 55°, what is the measure of ∠2?

Step-by-step explanation:

Given

Required

Find

From the attached image, we have:

--- right angle

So, we have:

Substitute:

To solve for , we have:

--- Vertically opposite angles

So:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18