# The angle in one regular polygon is to that in another as 3:2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.

Let the number of sides in the first polygon be 2x and the number of sides in the second polygon be x.

We know that angle of an n-sided regular polygon

The angle of the first polygon

The angle of the second polygon

Thus,

2x – 2 = 3x – 6

x = 4

Thus,

Number of sides in the first polygon = 2x = 8

Number of sides in the second polygon = x = 4

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