Step-by-step explanation: Notice that the angle diagonal
of the 114° is a vertical angle and vertical <'s are ≅.
Now, notice that we have two parallel lines cut by a transversal.
If two parallel lines are cut by a transversal, then
consecutive interior angles are supplementary.
So we can setup the equation 114 + y + 12 = 180.
Simplifying on the left gives us 126 + y = 180.
Now subtract 126 from both sides to get y = 54.
