Question

Measure of each interior angle of a regular polygon of n sides​

Answer 1

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Answer 2

Answer:

(n-2)180/n

Step-by-step explanation:

sum of interior angles of a regular polygon= (n-2)180

where n is number of sides

so each interior angle will be (n-2)180/n

so that is no of sides -2 times 180 divided by number of sides

for example

let us try a hexagon

sides=6

substitute value of n as 6

(6-2)180/6=4 x 30 = 120 deg

120 deg is the one interior angle of a hexagon

so this means that the formula is  (n-2)180/n

hope it helps

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