Final Answer:
1. $ x = 23^\circ $, Converse: Alternate Interior Angles Theorem
2. $ x = 15^\circ $, Converse: Corresponding Angles Postulate
3. $ x = 21^\circ $, Converse: Alternate Interior Angles Theorem
4. $ x = 28^\circ $, Converse: Alternate Exterior Angles Theorem
5. $ x = 17 $, Converse: Corresponding Angles Postulate
6. $ x = 10 $, Converse: Alternate Interior Angles Theorem
7. $ x = 10 $, Converse: Alternate Interior Angles Theorem
8. $ x = 25 $, Converse: Same-Side Interior Angles Theorem (Supplementary)
9. $ x = 10 $, Converse: Corresponding Angles Postulate
10. $ x = 10 $, Converse: Alternate Interior Angles Theorem
Parent Tip: Review the logic above to help your child master the concept of proving lines parallel worksheet.