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MATH1720HomeworkChapter1Section1

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Find the complement of an angle whose measure is  71°.
a.
19°
c.
109°
b.
71°
d.
161°
 

 2. 
Find the supplement of an angle whose measure is  60°.
a.
150°
c.
120°
b.
30°
d.
240°
 

 3. 
Find the complement of an angle whose measure is 33°mc003-1.jpg.
a.
56°mc003-2.jpg
c.
56°mc003-4.jpg
b.
57°mc003-3.jpg
d.
57°mc003-5.jpg
 

 4. 
Find the supplement of an angle whose measure is 74°mc004-1.jpg.
a.
105°mc004-2.jpg
c.
106°mc004-4.jpg
b.
105°mc004-3.jpg
d.
15°mc004-5.jpg
 

 5. 
Find the complement of an angle whose measure is 37°mc005-1.jpgmc005-2.jpg.
a.
52°mc005-3.jpgmc005-4.jpg
c.
52°mc005-7.jpgmc005-8.jpg
b.
53°mc005-5.jpgmc005-6.jpg
d.
52°mc005-9.jpgmc005-10.jpg
 

 6. 
Find the measure of each angle in the problem.

mc006-1.jpg
a.
95° and 85°
c.
50° and 40°
b.
200° and 160°
d.
100° and 80°
 

 7. 
Find the measure of each angle in the problem.

mc007-1.jpg
a.
60° and 120°
c.
45° and 135°
b.
90° and 270°
d.
45° and 55°
 

 8. 
Find the measure of each angle in the problem.

mc008-1.jpg
a.
20° and 25°
c.
40° and 50°
b.
30° and 60°
d.
20° and 30°
 

 9. 
Find the measure of each angle in the problem.
Supplementary angles with measures  2x +  7 and  3x  - 2 degrees
a.
87° and  93°
c.
77° and  103°
b.
57° and  123°
d.
67° and  113°
 

 10. 
279°mc010-1.jpg  + 139°mc010-2.jpg
a.
18°mc010-3.jpg
c.
419°mc010-5.jpg
b.
18°mc010-4.jpg
d.
419°mc010-6.jpg
 

 11. 
90°  - 38°mc011-1.jpg
a.
52°mc011-2.jpg
c.
51°mc011-4.jpg
b.
52°mc011-3.jpg
d.
51°mc011-5.jpg
 

 12. 
180°  - 8°mc012-1.jpgmc012-2.jpg
a.
171°mc012-3.jpgmc012-4.jpg
c.
172°mc012-7.jpgmc012-8.jpg
b.
172°mc012-5.jpgmc012-6.jpg
d.
171°mc012-9.jpgmc012-10.jpg
 

 13. 
Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
 57°mc013-1.jpgmc013-2.jpg
a.
57.42°
c.
57.43°
b.
57.48°
d.
57.38°
 

 14. 
Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
 211°mc014-1.jpgmc014-2.jpg
a.
211.70°
c.
211.74°
b.
211.80°
d.
211.75°
 

 15. 
Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
 358°mc015-1.jpgmc015-2.jpg
a.
358.81°
c.
358.75°
b.
358.71°
d.
358.76°
 

 16. 
Convert the angle to degrees, minutes, and seconds.
 22.66°
a.
22°mc016-1.jpgmc016-2.jpg
c.
22°mc016-5.jpgmc016-6.jpg
b.
22°mc016-3.jpgmc016-4.jpg
d.
22°mc016-7.jpgmc016-8.jpg
 

 17. 
Convert the angle to degrees, minutes, and seconds.
 153.38°
a.
153°mc017-1.jpgmc017-2.jpg
c.
153°mc017-5.jpgmc017-6.jpg
b.
153°mc017-3.jpgmc017-4.jpg
d.
153°mc017-7.jpgmc017-8.jpg
 

 18. 
Convert the angle to degrees, minutes, and seconds.
20.92°
a.
20°mc018-1.jpgmc018-2.jpg
c.
20°mc018-5.jpgmc018-6.jpg
b.
20°mc018-3.jpgmc018-4.jpg
d.
20°mc018-7.jpgmc018-8.jpg
 

 19. 
Find the angle of least positive measure coterminal with the given angle.
 -116°
a.
64°
c.
116°
b.
424°
d.
244°
 

 20. 
Find the angle of least positive measure coterminal with the given angle.
 652°
a.
326°
c.
472°
b.
292°
d.
282°
 

 21. 
Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.
 98°
a.
98° + n · 180°
c.
98° + n · 90°
b.
98° + n · 360°
d.
98° + n · 720°
 

 22. 
Give an expression that generates all angles coterminal with the given angle. Let n represent any integer.
345°
a.
345° + n · 90°
c.
345° + n · 360°
b.
345° + n · 180°
d.
345° + 2nð
 

 23. 
Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle.
 50°
a.
230° and -130°
mc023-1.jpg
b.
230° and -130°
mc023-2.jpg
c.
410° and -310°
mc023-3.jpg
d.
410° and -310°
mc023-4.jpg
 

 24. 
Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle.
10°
a.
370° and -350°
mc024-1.jpg
b.
370° and -350°
mc024-2.jpg
c.
190° and -170°
mc024-3.jpg
d.
190° and -170°
mc024-4.jpg
 

 25. 
Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle.
130°
a.
310° and -50°
mc025-1.jpg
b.
310° and -50°
mc025-2.jpg
c.
490° and -230°
mc025-3.jpg
d.
490° and -230°
mc025-4.jpg
 

 26. 
Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle.
 295°
a.
85° and -95°
mc026-1.jpg
b.
655° and -65°
mc026-2.jpg
c.
755° and -105°
mc026-3.jpg
d.
65° and -65°
mc026-4.jpg
 

 27. 
Find the measure of the smaller angle formed by the hands of the clock shown.
mc027-1.jpg
a.
120°
c.
150°
b.
60°
d.
110°
 

 28. 
A wheel makes  192 revolutions per minute. How many revolutions does it make per second?
a.
1152 revolutions per second
c.
6.4 revolutions per second
b.
3.2 revolutions per second
d.
1.92 revolutions per second
 

 29. 
A wheel is rotating  240 times per minute. Through how many degrees does a point on the edge of the wheel move in mc029-1.jpg seconds?
a.
720°
c.
540°
b.
24°
d.
180°
 



 
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