How do you find the interior angle sum of a polygon?

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle , we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

180°

Octagons

What is the sum of the interior angles of a 19 sided polygon?

Regular Polygons

Sides Name Interior Angles
18 Octdecagon 160.00°
20 Icosagon 162.00°
30 Triacontagon 168.00°

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

What is the interior angle sum of a 7 sided polygon?

A heptagon has 7 sides , so we take the hexagon’s sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

How many sides does a polygon have if the sum of its interior angles is 1620?

Using the same methods as for hexagons to the right (I’ll let you do the pictures) So, the sum of the interior angles of an 11-gon is 1620 degrees.

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180°

How many degrees is a regular polygon?

Angles. degrees, with the sum of the exterior angles equal to 360 degrees or 2π radians or one full turn. As the number of sides, n approaches infinity, the internal angle approaches 180 degrees .

8

What is the sum of the measures of the interior angles of a 13 sided polygon?

Question 130236: What is the sum of the measures of the interior anles of a convex 13 -gon? There is a formula the sum of the measures of the interior angles of a convex n-gon is (n-2)180 degrees. For a triangle, n=3, so it’s (1)180=180 degrees.

8 sides

What is the sum of the interior angles of a 12 sided polygon?

Using the same methods as for hexagons to the right (I’ll let you do the pictures) So, the sum of the interior angles of a dodecagon is 1800 degrees .

heptacontagon

What is the interior angle of a 20 sided polygon?

3240 degrees

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