3 years ago

A regular polygon has 10 sides. What is the measure of each interior angle of the polygon?

Mathematics

1 answer:

zysi [14]3 years ago

6 0

Answer:

144 = each interior angle

Step-by-step explanation:

The sum of the interior angles of a regular polygon is

(n – 2)180

If it is regular with n sides, divide by n to find each interior angle

(n – 2)180

------------------- = each interior angle

We know that there are 10 sides so n = 10

(10 – 2)180

------------------- = each interior angle

(8)180

------------------- = each interior angle

144 = each interior angle

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