Providing that it is a regular 10 sided decagon then each interior angle will measure 144 degrees
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Corresponding angles (also called F angles) are ang les that are the same on parallel lines (lines at the same angle next to each other) with a bisecting angle (a line that cuts through the parallel line). The lines look like a capital F and the corners of the "F" are the corresponding angles and they are the same.
Assuming the question is in the context of pie charts, the angle which corresponds to a fraction, f, of the total is makes and angle at the centre of 2*pi*f radians (= 360*f degrees).
Because any angle increased by k*2pi radians (= k*360 degrees) where k is an integer, is, effectively, the same angle. This implies that f(x + 2kpi) = f(x) for any angle x and any trig function f. This gives f a maximum period of 2pi radians.