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If you draw two regular polygons, for example pentagons, of two different sizes, the length of the sides will vary between the two pentagons, but the angle between the sides of the pentagons will be the same, therefore the sum of the angles will not change.

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Does the length of a side of regular polygon affect the sum interior angle measures?

No. Imagine any regular polygon ; a triangle, a rectangle a dodecagon or whatever. If they are regular polygons then whatever shape you choose they are just scaled up or scaled down versions of one another. Whilst the length of the sides can differ the sum of the interior angles does not change. The formula for calculating the sum of the interior angles of a polygon is 2n - 4 right angles, where n is the number of sides. This is not affected by the length of the sides.


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