Allday Education

Free Interior Angles of Polygons Worksheet

Ten interior-angle-sum problems for polygons, with an exact answer key.

Answer key included
Name: Date:
Interior Angles of Polygons
1.
Find the measure of each interior angle of a regular polygon with 2020 sides.
2.
Find the measure of each exterior angle of a regular polygon with 55 sides.
3.
Find the measure of each interior angle of a regular polygon with 44 sides.
4.
Find the measure of each exterior angle of a regular polygon with 1818 sides.
5.
Find the measure of each interior angle of a regular polygon with 33 sides.
6.
Find the measure of each interior angle of a regular polygon with 55 sides.
7.
Find the measure of each exterior angle of a regular polygon with 33 sides.
8.
Find the measure of each interior angle of a regular polygon with 1212 sides.
9.
Find the sum of the interior angle measures of a polygon with 1919 sides.
10.
Find the measure of each exterior angle of a regular polygon with 1010 sides.
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Interior Angles of Polygons
1.
Find the measure of each interior angle of a regular polygon with 2020 sides.
Answer: 162∘162^\circ
2.
Find the measure of each exterior angle of a regular polygon with 55 sides.
Answer: 72∘72^\circ
3.
Find the measure of each interior angle of a regular polygon with 44 sides.
Answer: 90∘90^\circ
4.
Find the measure of each exterior angle of a regular polygon with 1818 sides.
Answer: 20∘20^\circ
5.
Find the measure of each interior angle of a regular polygon with 33 sides.
Answer: 60∘60^\circ
6.
Find the measure of each interior angle of a regular polygon with 55 sides.
Answer: 108∘108^\circ
7.
Find the measure of each exterior angle of a regular polygon with 33 sides.
Answer: 120∘120^\circ
8.
Find the measure of each interior angle of a regular polygon with 1212 sides.
Answer: 150∘150^\circ
9.
Find the sum of the interior angle measures of a polygon with 1919 sides.
Answer: 3060∘3060^\circ
10.
Find the measure of each exterior angle of a regular polygon with 1010 sides.
Answer: 36∘36^\circ
Andy · alldayeverydaymath.com

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About this worksheet

Using the (n - 2) times 180 formula, students find the sum of the interior angles for polygons of different side counts. A clean drill for the polygon-angle skill on most geometry and state exams.

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