241
Chapter 8
31.
Since
n
5
10, the sum of the measures of the
interior angles is 180(10
2
2) or 1440. The sum of
the given measures is 10
x
1
440. Find
x
.
1440
5
10
x
1
440
1000
5
10
x
100
5
x
The measures of the interior angles of the
decagon are 105, 110, 120, 130, 135, 140, 160, 170,
180, and 190.
32.
Since
n
5
5, the sum of the measures of the
interior angles is 180(5
2
2) or 540. Write an
equation to express the sum of the measures of
the interior angles of the polygon.
540
5
m
/
A
1
m
/
B
1
m
/
C
1
m
/
D
1
m
/
E
540
5
6
x
1
(4
x
1
13)
1
(
x
1
9)
1
(2
x
2
8)
1
(4
x
2
1)
540
5
17
x
1
13
527
5
17
x
31
5
x
Use the value of
x
to find the measure of each
angle.
m
/
A
5
6
?
31 or 186,
m
/
B
5
4
?
31
1
13 or 137,
m
/
C
5
31
1
9 or 40,
m
/
D
5
2
?
31
2
8 or 54, and
m
/
E
5
4
?
31
2
1 or 123.
33.
Sample answer: Since
n
5
4, the sum of the
measures of the interior angles is 180(4
2
2) or
360. Write an equation to express the sum of the
measures of the interior angles of the quadrilateral.
360
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles, interior angles, exterior angle

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