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

Expert Answers
jgeertz eNotes educator| Certified Educator

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.