1. **State the problem:** We are given two parallel lines EF and GH cut by a transversal CD, creating two corresponding angles: one at point I on EF measuring $7x - 4$ degrees, and one at point J on GH measuring 73 degrees. We need to find $x$. 2. **Use the corresponding angles theorem:** When two parallel lines are cut by a transversal, corresponding angles are equal. Therefore, $$7x - 4 = 73$$ 3. **Solve the equation:** Add 4 to both sides: $$7x = 73 + 4$$ $$7x = 77$$ Divide both sides by 7: $$x = \frac{77}{7}$$ $$x = 11$$ 4. **Conclusion:** The value of $x$ that satisfies the angle equality is $11$ degrees.