To be able to determine the sum of all angles in a 21-gon or a polygon with 21 sides will be using the following formula:
[tex](n\text{ - 2) x 180}[/tex]Where,
n = number of sides
We get,
[tex](n\text{ - 2) x 180}[/tex][tex]\text{ (21 - 2) x 180}[/tex][tex]\text{ 19 x 180}[/tex][tex]\text{ 3,420}^{\circ}[/tex]Therefore, the sum of all angles in a 21 - gon is 3,420°.