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