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

Answer 1

Allison Allen

#162˚#

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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Answer 2

Evelyn Arboleda

The measure of an interior angle of a regular polygon can be calculated using the formula:

Interior Angle = (n - 2) * 180 / n

Where 'n' represents the number of sides of the polygon.

For a regular polygon with 20 sides:

Interior Angle = (20 - 2) * 180 / 20 Interior Angle = 18 * 180 / 20 Interior Angle = 162 * 180 / 20 Interior Angle = 1620 / 20 Interior Angle = 81 degrees

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Answer from HIX Tutor

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