Question 13 10 pts Which angle(s) is/are congruent? Same Side Interior Vertical Alternate Exterior Alternate Interior Corresponding

To determine which angles are congruent among the given types—**Same Side Interior**, **Vertical**, **Alternate Exterior**, **Alternate Interior**, and **Corresponding**—we can analyze each based on the properties of angles formed by parallel lines intersected by a transversal. 1. **Vertical Angles**: - **Congruent**. Vertically opposite angles are always equal in measure regardless of whether the lines are parallel. 2. **Alternate Exterior Angles**: - **Congruent** *if* the lines are parallel. When two parallel lines are cut by a transversal, the alternate exterior angles are equal. 3. **Alternate Interior Angles**: - **Congruent** *if* the lines are parallel. Similar to alternate exterior angles, alternate interior angles are equal when the lines are parallel. 4. **Corresponding Angles**: - **Congruent** *if* the lines are parallel. Corresponding angles occupy the same relative position at each intersection where a transversal crosses the parallel lines and are hence equal. 5. **Same Side Interior Angles**: - **Not Congruent**. Instead, these angles are **supplementary** (their measures add up to 180°) when the lines are parallel. **Summary**: - **Congruent Angles**: **Vertical**, **Alternate Exterior**, **Alternate Interior**, **Corresponding**. - **Not Congruent**: **Same Side Interior** (they are supplementary). **Visual Representation**:  *(Replace the image link with an appropriate diagram if needed.)*