Respuesta :

To figure out the total measure of the angles for a 27-gon, there is a formula.
n - 2 x 180*      (n is the number of sides, which would be 27)
27 - 2 = 25
25 x 180* = 4500*

The total measure of the angles of a 27-gon is: 4500*

We are required to find the sum of the measures of the interior angles of the 27 gon

The measure of the interior angles of the 27 gon is 4,500°

Sum of interior angles in a regular polygon = (n - 2)180°

where,

n = number of sides

The sum of the measures of the interior angles of the 27 gon = (n - 2)180°

n = 27

So,

(n - 2)180°

= (27 - 2) 180°

= (25) 180°

= 4,500°

Therefore, the measure of the interior angles of the 27 gon is 4,500°

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