1. **Problem Statement:** Given two parallel lines PQ and RS cut by a transversal LM, with angles labeled as \(\angle a, \angle b, \angle c, \angle d\) on PQ and \(\angle w, \angle x, \angle y, \angle z\) on RS, identify pairs of corresponding, alternate, and interior angles. 2. **Definitions and Rules:** - Corresponding angles are pairs of angles that lie on the same side of the transversal and in corresponding positions relative to the two lines. - Alternate angles are pairs of angles that lie on opposite sides of the transversal and inside the two lines. - Interior angles are angles that lie between the two lines on the same side of the transversal. 3. **Given pairs:** - \(\angle a\) and \(\angle y\) are corresponding angles. - \(\angle b\) and \(\angle x\) are alternate angles. - \(\angle a\) and \(\angle x\) are interior angles. 4. **Find another pair of corresponding angles:** - \(\angle d\) on PQ corresponds to \(\angle z\) on RS because both are on the same side of the transversal LM and in corresponding positions. 5. **Find another pair of alternate angles:** - \(\angle c\) on PQ and \(\angle w\) on RS are alternate angles because they lie on opposite sides of the transversal and inside the two lines. 6. **Find another pair of interior angles:** - \(\angle b\) on PQ and \(\angle y\) on RS are interior angles because they lie between the two lines on the same side of the transversal. **Summary:** - Another pair of corresponding angles: \(\angle d\) and \(\angle z\). - Another pair of alternate angles: \(\angle c\) and \(\angle w\). - Another pair of interior angles: \(\angle b\) and \(\angle y\).