Each exterior angle of a regular polygon is 120° less than each of its interior angle. How many sides does the polygon have?

Question

Mathematics

Robert

5 September, 22:23

Each exterior angle of a regular polygon is 120° less than each of its interior angle. How many sides does the polygon have?

+5

Answers (1)

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Huber · Answer 1

12 sides

Step-by-step explanation:

let interior angle = x

x + (x-120) = 180

x+x-120=180

2x-120=180

2x=180+120

x=300/2

x=150

exterior angle=150-120

=30

no. of side = s

no. of side = 30*s=360

=s=360/3

=12