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Question

Mathematics Question on Sum of the Measures of the Exterior Angles of a Polygon

Find xx in the following figures.
Polygon a Polygon b

Answer

We know that the sum of all exterior angles of any polygon is 360360\degree.
(a) 125+125+x=360125\degree + 125\degree + x = 360\degree
250+x=360250\degree + x = 360\degree
x=110x = 110\degree


(b)
Polygon b
60+90+70+x+90=36060\degree + 90\degree + 70\degree + x + 90\degree = 360\degree
310+x=360310\degree + x = 360\degree
xx = 5050\degree