Question

One regular polygon has twice as many sides as another and the angle
of the first to that of the second is in the ratio 5:4, then number of sides
in each polygon is​

Answer 1

Answer:

the interior angles of an n-gon are

(n-2)(180)/n

So, you have

((2n-2)/(2n)) / ((n-2)/n) = 5/4

Now just solve for n.

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Answer 2

the interior angles of an n-gon are

(n-2)(180)/n

So, you have

((2n-2)/(2n)) / ((n-2)/n) = 5/4

Now just solve for n