Question

1. For a regular polygon whose each exterior angle is
72, find:
(i) measure of each interior angle.
(ii) number of sides of the polygon.
(iii) number of diagonals.
plz help me out ​

Answer 1

There is a formula for the exterior angle measurement of regular polygons, where n is the number of sides and m is the measure of each exterior angle:

m° = 360°/n

72° = 360°/n : Multiply both sides by “n” to clear the fraction

(72°)(n) = 360° : Divide both sides by 72° to isolate n.

n = 360°/72°

n = 5 sides, this is a pentagon

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