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The interior angle of a regular polygon is double that of the exterior angle,find the measures of each?
Let be x degree the measure of an exterior angle, then the measure of an interior
angle is 2x degree. Assume that the regular polygon has n sides (or angles).
We know that the sum of the interior angles is n*x=(n-2)*180
& sum of exterior angles is n*x=360
                                                    =360/n
substituting this value
for x in the first equation we get:  n*2*360/n=(n-2)*180
                                                           720=(n-2)*180
                                                            (n-2)=4
                                                             n=6
Each exterior angle=x=360/n=360/6
                               =60
Each interior angle=2*x=2*60=120      


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