1. **State the problem:** Given two parallel lines $a$ and $b$ cut by a transversal $t$, identify the relationship between $m \angle 2$ and $m \angle 6$. 2. **Recall the properties of angles formed by parallel lines and a transversal:** - Alternate interior angles are equal. - Corresponding angles are equal. - Alternate exterior angles are equal. - Same-side interior angles are supplementary (sum to 180°). 3. **Identify the angles:** - $\angle 2$ is on the top side of line $a$, right of the transversal. - $\angle 6$ is on the top side of line $b$, right of the transversal. 4. **Determine the angle relationship:** - Since $\angle 2$ and $\angle 6$ lie on opposite sides of the transversal and between the two parallel lines, they are alternate interior angles. 5. **Conclusion:** - Therefore, $m \angle 2 = m \angle 6$ because they are **alternate interior angles**. **Final answer:** $m \angle 2$ and $m \angle 6$ are equal because they are **alternate interior angles**.