1. **Problem Statement:** Identify a pair of alternate exterior angles, a pair of corresponding angles, and a pair of alternate interior angles formed by two parallel lines $m$ and $n$ cut by a transversal $b$. 2. **Understanding the angles:** - Lines $m$ and $n$ are parallel. - Transversal $b$ intersects $m$ and $n$, creating angles 1 to 8. - Angles 1, 2, 3, 4 are at line $m$; angles 5, 6, 7, 8 are at line $n$. - Angles above lines are 1, 2 (at $m$) and 5, 6 (at $n$). - Angles below lines are 3, 4 (at $m$) and 7, 8 (at $n$). 3. **Definitions:** - **Alternate exterior angles:** Angles on opposite sides of the transversal and outside the two lines. - **Corresponding angles:** Angles in the same relative position at each intersection. - **Alternate interior angles:** Angles on opposite sides of the transversal and inside the two lines. 4. **Identify pairs:** - Alternate exterior angles: Angles outside lines $m$ and $n$ on opposite sides of $b$ are (1, 8) or (2, 7). - Corresponding angles: Angles in the same position relative to $b$ at $m$ and $n$ are (1, 5), (2, 6), (3, 7), or (4, 8). - Alternate interior angles: Angles inside lines $m$ and $n$ on opposite sides of $b$ are (3, 6) or (4, 5). 5. **Final answer:** - (a) Alternate exterior angles: $\angle 1$ and $\angle 8$ - (b) Corresponding angles: $\angle 1$ and $\angle 5$ - (c) Alternate interior angles: $\angle 3$ and $\angle 6$