3.1 Review Worksheet (continued)
19. In the parking lot shown, the lines that mark the width of each space are parallel.
m ∠ l = (2 x − 3 y ) ° m ∠ 2 = ( x + 3 y ) ° Find x and y .
2
60°
1
3.1.3 Proving that Lines are Parallel Use the Converse of the Corresponding Angles Postulate and the given information to show that || m . 20. ∠ 3 ≅ 7
2 3 1 4
5
l
8 6 7
21. m ∠ 4 = 54 ° , m ∠ 8 = (7 x + 5) ° , x = 7
m
22. m ∠ 2 = (8 x + 4)º, m ∠ 6 = (11 x − 41)º, x = 15 23. m ∠ l = (3 x + 19) ° , m ∠ 5 = (4 x + 7)º, x = 12
n
Use the theorems and given information to show that n || p . 24. ∠ 3 ≅ ∠ 6 25. ∠ 2 ≅ ∠ 7
2
1
4
3
p
26. m ∠ 4 + m ∠ 6 = 180º
6
5
8
7
27. m ∠ 1 = (8 x − 7) ° , m ∠ 8 = (6 x + 2l)º, x = 14
28. m ∠ 4 = (4 x + 3) ° , m ∠ 5 = (5 x − 22)º, x = 25 29. m ∠ 3 = (2 x + 15) ° , m ∠ 5 = (3 x + 15) ° , x = 30
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