Find the measure of each angle of a regular octagon

Sum of interior angles = ( n – 2) × 180°

= (8 – 2) × 180°

= 6×180°

= 1080°

each interior angle = 1080° ÷ 8

=135°

Sum of exterior angles of octagon is 360°

number of sides (n) = 8

each exterior angle = 360° ÷ 8

= 45°

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