The measure of any interior angle of a convex regular n-gon is (n − 2)π/n radians or (n − 2)180/n degrees.
for a decagon (10-2)*180/10=144 degrees=2.51327412287183 radians
Interior Angle=180 - (360/n)
180 - (360/10) = 180 - 36 = 144o
n= 360/(180 - Interior angle)
360/(180 - 144o) = 360/36 = 10 sides
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Each interior angle measures 144 degrees
Decagon is a geometry term that refers to a polygon that has 10 sides and 10 angles. The angles of a decagon measure 144 degrees.
The external angles of a polygon total 360° . Therefore each external angle of a regular decagon measures 360/10 = 36° Therefore each INTERNAL angle measures 180 - 36 = 144°
It is best described as a regular 10 sided polygon or as a regular decagon.
Each interior angle is 144 degrees.