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CaHeK987 [17]
3 years ago
5

If an interior angle of a regular polygon measures 108°, how many sides does the polygon have?

Mathematics
2 answers:
lbvjy [14]3 years ago
7 0

Answer:

5 sides

Step-by-step explanation:

Use the formula for the measure of an interior angle of a polygon

\frac{(n - 2)180}{n}

Solve for n (the number of sides):

108 = \frac{(n - 2)180}{n}

108n = (n - 2)180

108n = 180n - 360

-72n = -360

n = 5

So, the polygon has 5 sides.

PilotLPTM [1.2K]3 years ago
5 0

Answer:

5

Step-by-step explanation:

<u>(n-2)180 = 108</u>

          n

Distribute

180n-360=108n

-360=-72n

5=n

n=5

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Answer:

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Step-by-step explanation:

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3 years ago
HELP ME PLEASE LOVE THOU &lt;3
12345 [234]

Answer:

100\pi

Step-by-step explanation:

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3 years ago
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Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is
klio [65]

Let the lowest score be x.

<u>The 3 consecutive even scores are:</u>

1st score = x

2nd score = x + 2

3rd score = x + 4

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<u>Sum of their score is 270:</u>

x + (x + 2) + (x + 4) = 270

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<u>Solve x:</u>

x + (x + 2) + (x + 4) = 270

x + x + 2 + x + 4 = 270

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<u>Find their scores:</u>

1st score = x = 88

2nd score = x + 2 = 88 + 2 = 90

3rd score = x + 4 = 88 + 4 = 92

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Answer: The scores are 88, 90 and 92

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3 years ago
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9/11

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