The sum of all interior angles of a regular polygon is 1080°. What is the measure of each of its interior angles?

The sum of interior angles of regular polygon is


1080° = (n – 2) × 180° [n is number of sides of polygon)]


n - 2 = 1080° / 180°


n = 6 + 2


= 8


No. of Sides = 360 / Exterior Angle


8 = 360 / Exterior Angle


So, Exterior Angle = 360 / 8


= 45°


Exterior Angle + Interior Angle = 180°


Interior Angle = 180°- 45°


= 135°

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