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Well, a decagon is a 10-sided polygon. The equation for finding the measure of an interior angle of a regular polygon is this number: 180*(n-2) /n. (And in this instance, "n" stands for NUMBER of sides of a polygon.) So we can plug the numbers in:
n=10 (because there are 10 sides of a decagon and "n" stands for # of sides)

180*(10-2)
-------------- (divided by)
10

So your answer is 144 degrees.

Hope that helped. :)
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