Question

Calculate the sizes of the exterior angle and interior angle of:
a) a regular octagon

Answer asapp

Answer 1

Answer:

An octagon has eight sides.

360/ No. of sides = Exterior angle

=> 360/8 = 45°

∴ Exterior angle = 45°

(No. of sides - 2) x 180° = Interior angle

=> (8-2) x 180° = Sum of Interior angles

=> 6 x 180° = 1080°

Each interior angle = 1080/8 = 135°

∴ Each interior angle = 135°

∴ Exterior angle and each interior angle of a regular octagon is 45° and 135° respectively.