To find :themeasure of an interior angle for different number of sides of
Answer to Problem 27E
a.
x | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
y |
b. As the number of the sides increases the measure of an interior angle also increases.
c.no, I am not agree because it is less than
Explanation of Solution
Given : the tableprovided in the question,
Formula used: the measure of an interior angle of a regular n -gon is
Calculation: to measure the interior angle for different number of sides.
- Substitute n by according the number of sides, For n=4,
- As the number of the sides increases the measure of an interior angle also increases.
- When x=11 then,
For n=5,
For n=6,
For n=7
For n=8
For n=9
For n=10
x | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
y |
Hence,
a.
x | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
y |
b.As the number of the sides increases the measure of an interior angle also increases.
c. no, I am not agree because it is less than
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Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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