Question

find the number of sides of a regular polygon whoes extiror angle are 20 degree​

Answer 1

Answer:

exterior angle = 20 degree

no. of sides = 360divodes by 20 degree

= 18 sides

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Answer 2

Answer:

3240°

Step-by-step explanation:

Let the number of sides of a regular polygon are n, its each exterior angle = 360°/n.

Accordingly :-

360°/n = 20°. => n = 360°/20° = 18 sides.

We know that:-

each interior angle + each exterior angle = 180°

each interior angle + 20° = 180°.

or, each interior angle =180° -20° = 160°.

Sum of all interior angles= 18×160° = 2880°.

Sum of all exterior angles = 18×20° = 360°

Sum of all the interior angles and all exterior angles= 2880°+360°= 3240° ,