- Problem 1:
- a. m∠1 = 157° (Supplementary to ∠8, which is 23°)
- b. m∠2 = 23° (Vertical angles with ∠8)
- c. m∠3 = 157° (Supplementary to ∠2, or vertical to ∠1)
- d. m∠4 = 23° (Vertical angles with ∠2, or corresponding to ∠8)
- e. m∠5 = 157° (Supplementary to ∠8, or corresponding to ∠1)
- f. m∠6 = 23° (Vertical angles with ∠4, or corresponding to ∠2)
- g. m∠7 = 157° (Supplementary to ∠6, or vertical to ∠5)
- Problem 2:
- a. m∠1 = 97° (Vertical angles with ∠9)
- b. m∠2 = 83° (Supplementary to ∠1)
- c. m∠3 = 97° (Vertical angles with ∠1)
- d. m∠4 = 83° (Supplementary to ∠3)
- e. m∠5 = 97° (Corresponding to ∠1)
- f. m∠6 = 97° (Vertical angles with ∠5)
- g. m∠7 = 114° (Vertical angles with ∠12)
- h. m∠8 = 66° (Supplementary to ∠7)
- i. m∠9 = 97° (Given)
- j. m∠10 = 83° (Supplementary to ∠9)
- k. m∠13 = 83° (Alternate interior to ∠2, or supplementary to ∠12)
- l. m∠14 = 97° (Vertical angles with ∠13)
Parent Tip: Review the logic above to help your child master the concept of parallel lines cut by transversal worksheet.