Find the measure of each exterior angle and interior angle of octagon.
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In a regular octagon, the interior angle at each vertex is 135° and the central angle is 45°. Its interior angles add up to 1080° and the exterior angles add up to 360°.
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Calculate the size of each interior angle in the regular octagon. We do this by subtracting the size of each exterior angle, which is 45°, from 180°. The answer is 180° – 45° = 135°. A regular polygon has equal exterior angles of 72°.
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