1. **Stating the problem:** We are given two parallel lines AB and CD intersected by transversals creating angles of 2°, 100°, and 100°. We need to analyze the relationships between these angles. 2. **Relevant rules and formulas:** When two lines are parallel, corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary (sum to 180°). 3. **Analyze given angles:** - Angle at M is 2°. - Angles near points B and D are each 100°. 4. **Check angle relationships:** - Since AB is parallel to CD, the angles on the same side of the transversal should be supplementary. 5. **Verification:** - Angle at M (2°) + angle at B (100°) = 102°, which is not 180°, so these are not consecutive interior angles. - Angles at B and D are both 100°, suggesting they are corresponding angles and thus equal. 6. **Conclusion:** - The 100° angles at B and D confirm the parallelism of AB and CD. - The 2° angle at M is likely an acute angle formed by the transversal and vertical line. Final answer: The angles 100° at B and D are equal corresponding angles confirming AB || CD, and the 2° angle at M is an acute angle formed by the transversal.