What is the measure of an interior angle of a regular polygon with 20 sides?

Dylan Nixon

Dylan Nixon

Answered question

2022-10-31

What is the measure of an interior angle of a regular polygon with 20 sides?

Answer & Explanation

periasemdy

periasemdy

Beginner2022-11-01Added 15 answers

Step 1
The sum of the interior angles in a regular polygon with n sides is found through the formula
180 ˚ ( n - 2 )
Here, n = 20 , so the sum of the interior angles is
180 ˚ ( 20 - 2 ) = 180 ˚ ( 18 ) = 3240 ˚
To find just one angle, divide 3240 ˚ by 20 since all 20 angles are congruent.
3240 ˚ 20 = 162 ˚

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