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the measure of the inscribed angle is______ its corresponding central angle
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
The only way to do it is to measure the angles, There is no formula that will give you the measure of an interior angle of any shape unless it happens to be regular. And there is nothing in the question to suggest that the shape might be regular.
Each angle measures 60 degrees