Question

The exterior angle of a regular polygon is $\frac{1}{5}$ the interior angle.Calculate the number of sides of the regular polygon.

Answer 1

Let interior angle of polygon is X

the exterior angle is X/5

thus , x+X/5=180°=6x/5

X=150°

Exterior angle 30

sum of exterior angle of a polygon is 360°

30xn=360°, n is the number of sides of polygon

X=12...

....

Answer 2

Answer:

x = 12

Step-by-step explanation:

Let interior angle of polygon is x the exterial angle is x/5

thus, x + x/5 = 180°

= 6x/5

= 150°

Exterior angle 30

sum of exterior angle of polygon is 360°

30 × n = 360°, n is the number of sides of polygon.

x = 12

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