Question: Notice that the ninety six degree angle and the two y degree angle are alternate interior angles , use that fact to set up an equation and solve for y
1. **State the problem:** We are given that a $96^\circ$ angle and a $2y^\circ$ angle are alternate interior angles.
2. **Recall the property of alternate interior angles:** Alternate interior angles are equal when two lines are cut by a transversal and the lines are parallel.
3. **Set up the equation:** Since the angles are alternate interior angles, we have:
$$96 = 2y$$
4. **Solve for $y$:**
Divide both sides by 2:
$$\frac{96}{\cancel{2}} = \frac{2y}{\cancel{2}}$$
which simplifies to:
$$48 = y$$
5. **Conclusion:** The value of $y$ is $48$ degrees.