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An interior angle of a regular decagon has a measure of ______degrees.

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thi-dallas | Student, Undergraduate | (Level 1) Valedictorian

Posted February 5, 2013 at 3:35 AM via web

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An interior angle of a regular decagon has a measure of ______degrees.

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jgeertz | College Teacher | (Level 1) Associate Educator

Posted February 5, 2013 at 3:56 AM (Answer #1)

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A regular decagon  is a 10-sided polygon with equal sides and equal interior angles.

The formula for calculating the number of degrees in each interior angle of a regular polygon is:

Each Interior Angle (regular)= `(180(n-2))/n`

In a decagon `n=10`

`(180(10-2))/10`

`(180(8))/10`

`1440/10`

`144`

Therefore, the measure of each interior angle of a regular decagon is equal to 144 degrees.

 

 

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