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19 votes
19 votes
Find the measure of each interior angle of a regular 20 sided polygon

User Maarten Pennings
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3.2k points

1 Answer

8 votes
8 votes

The formula for finding the sum of the interior angles in a polygon is expressed as

Sum = 180(n - 2)

where

n is the number of sides in the polygon

From the information given,

n = 20

Thus, the sum of angles in this polygon is

Sum = 180(20 - 2) = 180 * 18 = 3240

Since the polygon is regular, it means that all the angles are equal. Thus,

Measure of each angle = 3240/20 = 162 degrees

User Thiago Cardoso
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2.9k points