Question

find the number of sides of a regular polygon whose exterior and interior
angles are in the ratio 1 : 5

PLEASE ANSWER FAST URGENT
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Answer 1

Answer:

Ratio of external and internal angles = 1:5

Let, exterior angle be = 1x

interior angle be = 5x

Now, 1x + 5x = 180

6x = 180

x = 30

So exterior angle = 1x = 1×30 = 30°

interior angle = 5x = 5×30 = 150°

No. of sides of polygon = 360/exterior angle

=360/30 = 12

So, polygon is of 12 sides.

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