36 degrees.
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Each exterior angle measures 36 degrees
It is: 360/36 = 10 sided regular decagon polygon
The exterior angles of any polygon including a 36 sided polygon always add up to 360 degrees.
A 10-sided shape is a decagon.
144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.