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Akimi4 [234]
3 years ago
12

A regular polygon

Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

3.6° = ext. angle

Step-by-step explanation:

For the shape to be a regular polygon, all interior angles must be congruent.

We can find every interior angle by using the formula:

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

\frac{180(100-2)}{100}

\frac{180(98)}{100}

\frac{17640}{100}

176.4 = each int. angle

We also know that int. and ext. angles are supplementary!

180 = 176.4 - x

3.6° = ext. angle

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