To be able to find the sum of all angles in a 50 - gon, we will be using the following formula:
[tex]\text{ (n - 2) x 180}[/tex]Where,
n = number of sides = 50
We get,
[tex]\text{ (n - 2) x 180}[/tex][tex]\text{ = (50 - 2) x 180}[/tex][tex]\text{ = 48 x 180}[/tex][tex]\text{ = 8,640}^{\circ}[/tex]Therefore, the sum of all angles inside a polygon is 8,640