CHAPTER 1 Section 1.1 Solutions -------------------------------------------------------------------------------1. Solve for x:
1 x = 2 360
2. Solve for x:
360 = 2 x, so that x = 180 .
3. Solve for x: −
360 = 4x, so that x = 90 .
1 x = 3 360
4. Solve for x: −
360 = −3x, so that x = −120 . (Note: The angle has a negative measure since it is a clockwise rotation.)
5. Solve for x:
1 x = 4 360
2 x = 3 360
720 = 2(360 ) = −3x, so that x = −240 . (Note: The angle has a negative measure since it is a clockwise rotation.)
5 x = 6 360
6. Solve for x:
7 x = 12 360
1800 = 5(360 ) = 6x, so that x = 300 .
2520 = 7(360 ) = 12x, so that x = 210 .
7. Solve for x: −
4 x = 5 360 1440 = 4(360 ) = −5x, so that
8. Solve for x: −
x = −288 . (Note: The angle has a negative measure since it is a clockwise rotation.)
x = −200 . (Note: The angle has a negative measure since it is a clockwise rotation.)
9.
10.
a) complement: 90 − 18 = 72
5 x = 9 360 1800 = 5(360 ) = −9x, so that
a) complement: 90 − 39 = 51
b) supplement: 180 − 18 = 162
b) supplement: 180 − 39 = 141
11.
12.
a) complement: 90 − 42 = 48
a) complement: 90 − 57 = 33
b) supplement: 180 − 42 = 138
b) supplement: 180 − 57 = 123
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