Question

The exterior angle measure of a regular polygon is 20 degrees. How many sides does the polygon have?
9
16
18
20

Answer 1

Interior angle would be 180 - 20 = 160
Now that we know this, let's use the formula.

\(\Large \color{MidnightBlue}{\Rightarrow {180n - 360 \over n} = 160 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 160n = 180n - 360 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 0 = 20n - 360 }\)

\(\Large \color{MidnightBlue}{\Rightarrow -20n = -360 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 20n = 360 }\)

\(\Large \color{MidnightBlue}{\Rightarrow n = 18 }\)

18 sides.

Answer 2

OH the same formula huh ok

Answer 3

Yep :P

Answer 4

(2n-4)*9=16n => 18n-36=16n => 2n=36=> n=18

Answer 5

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Sorry, it took so long here is the middle of the day.

Answer 6

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Answer 7

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Answer 8

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Answer 9

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Answer 10

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Answer 11

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Answer 12

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Answer 13

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Answer 14

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Answer 16

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Answer 17

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Answer 18

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A.
un relevu00e9 de compte
B.

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Answer 20

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Answer 24

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https://dlap.gradpoint.com/Resz/~0.