How many sides would there be in a convex polygon if the sum of all but one of its interior angles is 1070 degrees?

I got that one of them is 10 degrees, but I can't find the sides..........

CalTheGreat Mar 27, 2020

#1**+1 **

You're on the right track, Cal

1080 = the sum of the interior angles

Assuming a regular polygon.....we have

(n - 2) * 180 = 1080 divide both sides by 180

n - 2 = 6 add 2 to both sides

n = 8 = the number of sides

CPhill Mar 27, 2020

#2**0 **

This is an octagon with one of its interior angles of 10 degrees.

Guest Mar 27, 2020

edited by
Guest
Mar 27, 2020

#5**+1 **

__Just a little side note:__

You cannot assume it's regular... but you CAN find the average of the angles (as if it was regular)!

AnExtremelyLongName Mar 29, 2020