1. **State the problem:** Given that $m\angle HLK = 56^\circ$, find $m\angle CLB$. 2. **Identify the relationship:** Angles $HLK$ and $CLB$ are vertical angles because they are formed by two intersecting lines at point $L$. Vertical angles are always equal. 3. **Apply the rule:** Since vertical angles are equal, we have $$m\angle CLB = m\angle HLK$$ 4. **Substitute the given value:** $$m\angle CLB = 56^\circ$$ 5. **Conclusion:** The measure of angle $CLB$ is $56^\circ$.