The value of Y is 8 . Option B. 8 is correct .
To solve for y, we can use the alternate interior angles theorem. This theorem states that when two parallel lines are cut by a transversal, the alternate interior angles are equal.
In the diagram, we can see that angles 116° and 15y-4° are alternate interior angles. Therefore, we can set these two angles equal to each other.
116° = 15y-4°
Adding 4° to both sides of the equation, we get:
120° = 15y
Dividing both sides of the equation by 15, we get:
y = 8
Therefore, the answer is B. 8.