1. **Stating the problem:** We need to find the measure of angle $R$ in a given geometric figure. 2. **Formula and rules:** To find an unknown angle in a triangle, we use the fact that the sum of interior angles in a triangle is always $180^\circ$. 3. **Intermediate work:** Suppose the triangle has angles $P$, $Q$, and $R$. Then: $$P + Q + R = 180^\circ$$ 4. **Explanation:** If we know the measures of angles $P$ and $Q$, we can find $R$ by rearranging the formula: $$R = 180^\circ - P - Q$$ 5. **Final answer:** Substitute the known values of $P$ and $Q$ to calculate $R$. Since the problem does not provide specific values for angles $P$ and $Q$, please provide those to find the exact measure of angle $R$.