See Problem 3.

12. Parking Two workers paint lines for angled parking spaces. One worker paints a line so that m ∠ 1 = 65 . m angle . 1 equals 65 .  The other worker paints a line so that m ∠ 2 = 65 . m angle . 2 equals 65 .  Are their lines parallel? Explain.

    

See Problem 4.

Algebra Find the value of x for which l || m . l vertical linevertical line m .

B Apply

Developing Proof Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem or postulate.

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17. ∠ 2 angle 2  is supplementary to ∠ 3 . angle 3 .
18. ∠ 1 ≅ ∠ 3 angle 1 approximately equal to angle 3
19. ∠ 6 angle 6  is supplementary to ∠ 7 . angle 7 .
20. ∠ 9 ≅ ∠ 12 angle 9 approximately equal to angle 12
21. m ∠ 7 = 65 , m ∠ 9 = 115 m angle . 7 equals 65 comma . m angle , 9 equals 115
22. ∠ 2 ≅ ∠ 10 angle 2 approximately equal to angle 10
23. ∠ 1 ≅ ∠ 8 angle 1 approximately equal to angle 8
24. ∠ 8 ≅ ∠ 6 angle 8 approximately equal to angle 6
25. ∠ 11 ≅ ∠ 7 angle 11 approximately equal to angle 7
26. ∠ 5 ≅ ∠ 10 angle 5 approximately equal to angle 10

Algebra Find the value of x for which l || m . l vertical linevertical line m .

27. 
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28. 
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29. Proof Prove the Converse of the Same-Side Interior Angles Theorem (Theorem 3-5).

    Given: m ∠ 3 + m ∠ 6 = 180 m angle , 3 plus , m angle , 6 equals 180

    Prove: l || m l vertical linevertical line m

    

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