1. **Stating the problem:** We are given two intersecting lines forming a Z shape with angles marked as 100° and 76°, and two angles labeled 1 and 2. We need to find the measures of angles 1 and 2. 2. **Relevant rules:** When two lines intersect, vertically opposite angles are equal. 3. **Step 1:** Since one angle is 100°, the vertically opposite angle is also 100°. 4. **Step 2:** The angle adjacent to 100° on a straight line is supplementary, so it measures $$180^\circ - 100^\circ = 80^\circ$$. 5. **Step 3:** Given the other angle is 76°, its vertically opposite angle is also 76°. 6. **Step 4:** The angle adjacent to 76° on a straight line is supplementary, so it measures $$180^\circ - 76^\circ = 104^\circ$$. 7. **Step 5:** Angles 1 and 2 correspond to these calculated angles based on their positions in the Z shape. Typically, in a Z shape formed by parallel lines and a transversal, alternate interior angles are equal. 8. **Final answer:** - Angle 1 = 80° - Angle 2 = 76°