1. **State the problem:** We are given that $m \angle 1 = 79^\circ$ and need to find the measures of $\angle 2$, $\angle 3$, and $\angle 4$ formed by two intersecting lines. 2. **Recall the properties of intersecting lines:** When two lines intersect, opposite (vertical) angles are equal, and adjacent angles are supplementary (sum to $180^\circ$). 3. **Identify vertical angles:** - $\angle 1$ and $\angle 3$ are vertical angles, so $m \angle 3 = m \angle 1 = 79^\circ$. - $\angle 2$ and $\angle 4$ are vertical angles, so $m \angle 2 = m \angle 4$. 4. **Find $m \angle 2$ and $m \angle 4$ using supplementary angles:** - $\angle 1$ and $\angle 2$ are adjacent and supplementary, so $$m \angle 1 + m \angle 2 = 180^\circ$$ $$79^\circ + m \angle 2 = 180^\circ$$ $$m \angle 2 = 180^\circ - 79^\circ = 101^\circ$$ - Since $m \angle 2 = m \angle 4$, we have $m \angle 4 = 101^\circ$. 5. **Final answers:** $$m \angle 2 = 101^\circ$$ $$m \angle 3 = 79^\circ$$ $$m \angle 4 = 101^\circ$$