Munchi, this is the solution to the problem:
Step 1:
Let's recall that angle 114 and the adjacent angle are line pair and their measures add up to 180 degrees.
In consequence, that adjacent angle measures:
180 - 114 = 66 degrees
Step 2:
Now, let's recall that the interior angles of a triangle also add up to 180 degrees. Therefore,
66 + y + y = 180
66 + 2y = 180
Subtracting 66 at both sides:
66 + 2y - 66 = 180 - 66
2y = 114
Dividing by 2 at both sides:
2y/2 = 114/2
y = 57
The correct answer is A.