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