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239
Chapter 8
4.
Use the Interior Angle Sum Theorem.
S
5
180(
n
2
2)
5
180(5
2
2)
5
540
The sum of the measures of the interior angles of
a pentagon is 540.
5.
Use the Interior Angle Sum Theorem.
S
5
180(
n
2
2)
5
180(12
2
2)
5
1800
The sum of the measures of the interior angles of
a dodecagon is 1800.
6.
Use the Interior Angle Sum Theorem to write an
equation to solve for
n
,the number of sides.
S
5
¬
180(
n
2
2)
(60)
n
5
¬
180(
n
2
2)
60
n
5
¬
180
n
2
360
0
5
¬
120
n
2
360
360
5
¬
120
n
3
5
¬
n
The polygon has 3 sides.
7.
Use the Interior Angle Sum Theorem to write an
equation to solve for
n
,the number of sides.
S
5
¬
180(
n
2
2)
(90)
n
5
¬
180(
n
2
2)
90
n
5
¬
180
n
2
360
0
5
¬
90
n
2
360
360
5
¬
90
n
4
5
¬
n
The polygon has 4 sides.
8.
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 polygon.
360
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles

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