WorksheetsPolygon Angle Measures Hard Problems
Total questions: 21
Worksheet time: 46mins
Name
Class
Date
1.
An exterior angle measure of a regular polygon is 22.50. How many sides does the polygon have?Hint: The sum of all the exterior angles of any polygon is 3600
a)
18
b)
16
c)
20
d)
14
2.
What is the interior angle of a regular polygon with an exterior angle of 165 degrees? Hint: An interior angle and its exterior angle form a linear pair.
a)
180
b)
15
c)
360
d)
195
3.
What is the sum of the interior angles for a 24-gon. Hint: sum of the measures of the interior angles of a polygon is (n - 2)180, where n is the number of sides.
a)
3960
b)
360
c)
15
d)
4280
4.
What is the sum of the exterior angles for a nonagon?
a)
180
b)
1260
c)
360
d)
9
5.
What is the formula for the sum of the measures of the interior angles of a polygon ?
a)
SI =360
b)
SI =180(n-2)
c)
SI =360/n
d)
RI = ((n-2)180)/n
6.
What is the formula for the sum of the measures of the exterior angles of a polygon?
a)
SE =360
b)
SE =180(n-2)
c)
SE=360/n
d)
RE=360/n
7.
How many sides does a regular polygon have with an exterior angle of 24o?
a)
24
b)
26
c)
124
d)
15
8.
What is the measure of an exterior angle of a regular 67-gon?
a)
5.4
b)
11700
c)
3.2
d)
113
9.
a)
35
b)
40
c)
45
d)
50
10.
a)
410
b)
335
c)
155
d)
130
11.
a)
410
b)
335
c)
155
d)
130
12.
If the polygon is regular, what is the measure of angle d?
a)
72 degrees
b)
360 degrees
c)
540 degrees
d)
108 degrees
13.
If the polygon is regular, what is the measure of angle h?
a)
360
b)
540
c)
72
d)
108
14.
How do you find one exterior angle of a regular polygon?
a)
RE = 360
b)
RE = 180(n-2)
c)
RE = 360/n
d)
RE = ((n-2)180)/n
15.
Find the value of X.
a)
100°
b)
110°
c)
150°
d)
168°
16.
Find the value of X.
a)
90°
b)
98°
c)
100°
d)
115°
17.
Find the angle sum of the interior angles of the polygon.
a)
180°
b)
540°
c)
720°
d)
1080°
18.
Find the angle sum of the interior angles of the polygon.
a)
720°
b)
900°
c)
1080°
d)
1260°
19.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
20.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
21.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
100 %
