The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4.calculate the sum of interior angles of...

The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4. Calculate the sum of interior angles of the polygons with n sides.

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> {(n-2)180°/[(n+2)-2]}=3/4
> 4(180n-360°)=540n
> 720n-1440°=540n
> 180n/180=1440°/180
> n=8

Therefore,sum of interior angles of the polygons with n sides is,

(8-2)180°=1080°.

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Mr Masinde answered the question on April 26, 2018 at 14:36

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