###### Asked in Math and Arithmetic, Algebra, Geometry

Math and Arithmetic

Algebra

Geometry

# What regular figure's angles each measure 144 degrees?

## Answer

###### Wiki User

###### 10/04/2007

The formula for the angles of a regular n-gon is 180(n-2)/n. If 180(n-2)/n = 144 then 180n-360 = 144n so 36n = 360 and n=10. This means that a regular decagon has angles measuring 144 degrees.

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