1. **Stating the problem:** We are given that $\angle G = 65^\circ$ and need to find the measure of $\angle H$. The problem likely involves angles in a geometric figure where $\angle G$ and $\angle H$ are related. 2. **Understanding the relationship:** Typically, if $\angle G$ and $\angle H$ are angles on a straight line or part of a triangle, their measures add up to a certain value. Commonly, angles on a straight line sum to $180^\circ$. 3. **Using the straight angle rule:** If $\angle G$ and $\angle H$ are supplementary, $$\angle G + \angle H = 180^\circ$$ 4. **Substitute the known value:** $$65^\circ + \angle H = 180^\circ$$ 5. **Solve for $\angle H$:** $$\angle H = 180^\circ - 65^\circ$$ $$\angle H = 115^\circ$$ 6. **Conclusion:** The measure of $\angle H$ is $115^\circ$. **Answer: C 115˚**