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Each interior angle of an octagon is 135o.

The sum of the exterior angles of a polygon is 360o.

A regular octagon has equal angles, thus:

8 x exterior_angle = 360o

⇒ exterior_angle = 360o ÷ 8 = 45o

The interior and exterior angles of a polygon are supplementary, that is sum to 180o.

interior_angle + 45o = 180o

⇒ interior_angle = 180o - 45o = 135o.

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Q: What is the measure of each interior angles of a regular octgon?
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