1. ∠DAB = 45° (Given)
2. ∠ABC = 135° (Supplementary to ∠DAB, since D∥E and AB is a transversal)
3. ∠BCF = 45° (Alternate interior angle to ∠DAB, since D∥E and AB is a transversal)
4. ∠CFE = 135° (Supplementary to ∠BCF, since F∥G and CF is a transversal)
5. ∠EFG = 45° (Alternate interior angle to ∠BCF, since F∥G and CF is a transversal)
6. ∠FGP = 135° (Supplementary to ∠EFG, since P∥Q and FG is a transversal)
7. ∠GPQ = 45° (Alternate interior angle to ∠EFG, since P∥Q and FG is a transversal)
8. ∠PQT = 135° (Supplementary to ∠GPQ, since S∥T and PQ is a transversal)
9. ∠QTS = 45° (Alternate interior angle to ∠GPQ, since S∥T and PQ is a transversal)
10. ∠TSA = 135° (Supplementary to ∠QTS, since D∥E and TS is a transversal)
Parent Tip: Review the logic above to help your child master the concept of printable math worksheets angles in transversal.