Question

if the sum of interior angles of a regular polygon is 2160 , then how many vertices does that polygon have?​

Answer 1

let no. of corners be n,formula for sum of internal angles is (n-2 x 180).

here, (n-2 x 180 )= 2160.

so( n-2) =2160/180=12.

so n= 12+2 = 14.

Answer 2

Let the polygon have n vertices.

[n - 2] • 180 ° = 2160°

[ n - 2] = 12

Hence, n = 14.

The polygon has 14 vertices.

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