Order: Polygon » Number of Sides » Measure of Each Side » Sum of Interior Angles
1.) Regular Quadrilateral » 4 » 40 cm » 360°
2.) Regular Pentagon » 5 » 32 cm » 540°
3.) Regular Octagon » 8 » 20 cm » 1080°
4.) Regular Hexagon » 16 » 10 cm » 2520°
5.) Regular Icosahedron » 20 » 8 cm » 3240°
6.) Regular Triacontadigon » 32 » 5 cm » 5400°
7.) Regular Tetragonal » 40 » 4 cm » 6840°
8.) Regular Decagon » 10 » 16 cm » 1440°
9.) Regular Octagon » 80 » 2 cm » 14040°
10.) 160-sided polygon » 160 » 1 cm » 28440°
In a polygon with N sides, its sum of interior angles is (n-2) x 180°. (Because in each regular polygon, which side with a whole number is asked, this problem can be solved by looking for all factors of 160.)
Answers & Comments
Order: Polygon » Number of Sides » Measure of Each Side » Sum of Interior Angles
1.) Regular Quadrilateral » 4 » 40 cm » 360°
2.) Regular Pentagon » 5 » 32 cm » 540°
3.) Regular Octagon » 8 » 20 cm » 1080°
4.) Regular Hexagon » 16 » 10 cm » 2520°
5.) Regular Icosahedron » 20 » 8 cm » 3240°
6.) Regular Triacontadigon » 32 » 5 cm » 5400°
7.) Regular Tetragonal » 40 » 4 cm » 6840°
8.) Regular Decagon » 10 » 16 cm » 1440°
9.) Regular Octagon » 80 » 2 cm » 14040°
10.) 160-sided polygon » 160 » 1 cm » 28440°
In a polygon with N sides, its sum of interior angles is (n-2) x 180°. (Because in each regular polygon, which side with a whole number is asked, this problem can be solved by looking for all factors of 160.)