SOLUTION: Q1- THE SUM OF ALL INTERIOR ANGLES OF A REGULAR POLYGON IS 1080 WHAT IS THE MEASURE OF EACH OF ITS EXTERIOR ANGLES?''.

Question 755901: Q1- THE SUM OF ALL INTERIOR ANGLES OF A REGULAR POLYGON IS 1080 WHAT IS THE MEASURE OF EACH OF ITS EXTERIOR ANGLES?''.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Theorem: The sum of the interior angles in a polygon with sides is
if the sum of the interior angles is , then

....we have an octagon
Since each interior angle has the same measure, we divide by to find the measure of one interior angle:

Subtract the measurement of each interior angle from to get the measurement of the corresponding exterior angle.
the corresponding exterior angle is:

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