1. The problem asks to name the adjacent interior angles of the given triangle. 2. Adjacent interior angles in a triangle are pairs of angles that share a common side and vertex inside the triangle. 3. Given angles \(\angle 1\), \(\angle 2\), \(\angle 3\), and \(\angle 5\), we identify which pairs share a side. 4. Typically, in a triangle, each angle is adjacent to the two angles that share a side with it. 5. For example, if \(\angle 1\) and \(\angle 2\) share a side, they are adjacent interior angles. 6. Similarly, \(\angle 2\) and \(\angle 3\) are adjacent if they share a side. 7. \(\angle 3\) and \(\angle 5\) could be adjacent if \(\angle 5\) is inside the triangle and shares a side with \(\angle 3\). 8. Without a diagram, the most common adjacent interior angle pairs in a triangle are: - \(\angle 1\) and \(\angle 2\) - \(\angle 2\) and \(\angle 3\) - \(\angle 1\) and \(\angle 3\) if they share a side 9. Therefore, the adjacent interior angles are \(\angle 1\) and \(\angle 2\), \(\angle 2\) and \(\angle 3\), and possibly \(\angle 3\) and \(\angle 5\) if \(\angle 5\) is inside the triangle and adjacent.