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Find the measure of one interior angle for the following regular polygon ​

Find the measure of one interior angle for the following regular polygon ​-example-1

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Answer:

144 degrees

Explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

= 144 degrees

User Donald Burr
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