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Question

Find the measure of each exterior angle of a regular
(i) pentagon
(ii) hexagon
(iii) heptagon
(iv) decagon
(v) polygon of 15 sides.

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Solution

Exterior angle of an n-sided polygon = 360no
(i) For a pentagon: n=5 360n=3605=72o

(ii) For a hexagon: n=6 360n=3606=60o


(iii) For a heptagon: n=7 360n=3607=51.43o


(iv) For a decagon: n=10 360n=36010=36o

(v) For a polygon of 15 sides: n=15 360n=36015=24o

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