Question

what is the sum of angles of n- sided polygon?​

Answer 1

Answer:

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

Step-by-step explanation:

Answer 2

ANSWER:

Interior angle: An interior angle of a polygon is an angle inside the polygon at one of its vertices. Angle Q is an interior angle of quadrilateral QUAD.

Exterior angle: An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

The measure of each interior angle of an equiangular n-gon is

(n-2) 180 or 180- 360

n n

If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°

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