Download Study Guide Quiz #5

Study Guide Test #4
Polygon angles, triangle properties, and triangle inequalities
If it is a polygon, name it by the number of sides.
4)
5)
6)
For each regular polygon, find the measure of each interior angle.
7. triangle
8. hexagon
9. decagon
10. 18-gon
For each regular polygon, find the measure of each exterior angle.
11. pentagon
12. octagon
13. 36-gon
14. quadrilateral
For each polygon find the sum of the interior angles.
15. pentagon
16. heptagon
17. nonagon
18. 22-gon
For each polygon find the sum of the exterior angles.
19. triangle
20. nonagon
21. decagon
22. 40-gon
23. How many sides does a regular polygon have if the measure of the exterior angle is 60?
24. How many sides does a regular polygon have if the measure of each interior angle is 144?
25. An octagon has angles measuring 140, 96, 162, 152, 128, 108, and 130. Find the
measure of the eighth angle.
26. What is the sum of the measures of the interior angles of a heptagon?
27. What is the measure of each interior angle of a regular 20-gon?
28. What is the sum of the measures of the exterior angles of a heptagon?
29. What is the measure of each exterior angle of a regular 14-gon?
30. What is the measure of each interior angle of a regular 22-gon?
31. Find the number of sides of a regular polygon with each exterior angle equal to 24.
32. Find the number of sides of a regular polygon with each interior angle equal to 144.
33. The measure of each interior angle of a regular polygon is 120°. How many sides does the polygon
have?
34. The measure of each interior angle of a regular polygon is 165°. How many sides does the polygon
have?
Solve for x.
35.
36.
37.
38.
9x  4
10x  3
9x  3
8x  2
13x  30
8x 12
12x  9
4x  2
19 x 11
Classify each triangle by its angles and sides.
39.
40.
41.
30
19
19
75
42. 68
43.
44.
108
22
60
60
Solve for x..
45.
46.
47.
2x  2
52
43
3x 17
x5
x
x  40
x
48. 80
49.
50.
2x  5
2x 11
6 x  23
122
x  23
3x  22
x
L
List the angles in order from smallest to largest.
L
51.
8
9
K
52. 4
D
53.
K
7
8
9
10
M
10
C
5
J
B
List the sides in order from longest to shortest.
54.
55.
56.
A
D
M
71
J
92
61
53
E 48
F
E
43
R
E
Complete with <, >, or =.
57. AT______BT
A
65
63
T
C
3
B
A
1
E
B
D
60. m1______ m2
2
110
F
4
62. m1______ m2
61.TP ______ AG
T
1
R
22
12
M
22
P
6
59. m1______ m2
58. AB______DE
C
105
10
11
2
A
6
G
Is it possible for a triangle to have the following side lengths?
63. 5, 7, 13
64. 9, 11, 20
65. 8,9,10
Find all possible values for the third side of a triangle given two sides.
66. 3 and 7
67. 6 and 11
68. 6 and 6
69. You are asked to fence in a triangular playground. Two sides of the playground have lengths of 100
feet and 200 feet. What are all possible lengths for the third side? What is the maximum total length of
fence you would need?
Use an inequality to describe a restriction on the value of x.
70.
71.
21
9
x
4
72.
3x  2
38
3x  4
38
5
30
12x  7