Subjects geometry

Alternate Interior 214E45

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1. **Problem Statement:** Identify which pairs of angles are alternate interior angles in the given figure with two parallel lines cut by a transversal. 2. **Definition:** Alternate interior angles are pairs of angles that lie between the two parallel lines but on opposite sides of the transversal. 3. **Given Angles:** \(\angle l, \angle v, \angle j, \angle z, \angle s, \angle m, \angle i\). 4. **Step-by-step Analysis:** - \(\angle l\) and \(\angle v\) are on the same side of the transversal, so not alternate interior. - \(\angle j\) and \(\angle z\) are on opposite sides of the transversal and between the parallel lines, so they are alternate interior angles. - \(\angle l\) and \(\angle s\) are on the same side of the transversal, so not alternate interior. - \(\angle m\) and \(\angle i\) are on opposite sides of the transversal and between the parallel lines, so they are alternate interior angles. - \(\angle m\) and \(\angle v\) are not both between the parallel lines, so not alternate interior. - \(\angle i\) and \(\angle l\) are on the same side of the transversal, so not alternate interior. 5. **Final Answer:** The pairs of alternate interior angles are \(\angle j \text{ and } \angle z\) and \(\angle m \text{ and } \angle i\). **Answer choices:** B and D.