1. **State the problem:** We have a triangle with angles measuring 72°, 53°, and 5n°. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of a triangle is always 180°. So, $$72 + 53 + 5n = 180$$ 3. **Set up the equation:** $$72 + 53 + 5n = 180$$ 4. **Simplify the known angles:** $$125 + 5n = 180$$ 5. **Isolate the term with n:** $$5n = 180 - 125$$ $$5n = 55$$ 6. **Solve for n:** $$n = \frac{55}{5} = 11$$ **Final answer:** $$n = 11$$