Skills · Geometry · Polygons & Quadrilaterals
Polygon angle sums
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- the interior angle sum: the sum of the interior angles of a hexagon
- each interior angle of a regular polygon: each interior angle of a regular octagon
- each exterior angle of a regular polygon, or the exterior angle sum: each exterior angle of a regular 9-sided polygon
- the number of sides, from one angle of a regular polygon: Each interior angle measures 140°. How many sides?
- a polygon’s missing angle (expressions at Level 3): 100°, 115°, ?, 95° and 120° in a pentagon
Sample Sheet · Level 1
- Find the measure of each interior angle of a regular 10-sided polygon.
- Find the sum of the interior angles of an 11-sided polygon.
- Find the measure of each interior angle of a regular hexagon.
- Find the sum of the interior angles of a 5-sided polygon.
- Find the measure of each exterior angle of a regular octagon.
- Find the measure of each exterior angle of a regular pentagon.
- Find the sum of the exterior angles of a 6-sided polygon, one at each corner.
- Find the measure of each interior angle of a regular 5-sided polygon.
Answer key
- 144°
- 1,620°
- 120°
- 540°
- 45°
- 72°
- 360°
- 108°
Sample Sheet · Level 3
- Each exterior angle of a regular polygon measures 60°. How many sides does it have?
- Each interior angle of a regular polygon measures 140°. How many sides does it have?
- Find the sum of the exterior angles of an 8-sided polygon, one at each corner.
- Find the measure of each exterior angle of a regular octagon.
- Find the sum of the interior angles of a 10-sided polygon.
- Find the measure of each interior angle of a regular 5-sided polygon.
- Find the measure of each interior angle of a regular 8-sided polygon.
Find m∠E.
Answer key
- 6 sides
- 9 sides
- 360°
- 45°
- 1,440°
- 108°
- 135°
- 107°
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.