Converse Vertical Angles 21316D

1. **State the problem:** We are given the statement: "If two angles are vertical, then they are ruined." We need to write the converse of this statement and determine if the converse is true or false. 2. **Recall the original statement:** Original: If two angles are vertical, then they are ruined. 3. **Write the converse:** The converse of an implication "If P, then Q" is "If Q, then P". So, the converse is: If two angles are ruined, then they are vertical. 4. **Analyze the truth of the converse:** - Vertical angles are pairs of opposite angles made by two intersecting lines. - The term "ruined" is not a standard geometric term related to angles. - Assuming "ruined" means something else or is a mistake, the statement is likely false or nonsensical. 5. **Conclusion:** The converse statement "If two angles are ruined, then they are vertical" is false or meaningless because "ruined" is not a defined geometric property. **Final answer:** The converse is false or undefined due to the unclear term "ruined."