Question 865487
An octagon has 8 sides and the sum of the interior angles of a convex octagon is
(8-2)(180) = 1080 degrees
also our convex polygon has no angle pointing inward, that is, no interior angle is greater than 180 degrees
our formula is
(x+10) + (x+20) +(x+30) + (x+40) + (x+50) + (x+60) + (x+70) + (x+80) = 1080
8x + 360 = 1080
8x = 720
x = 90
therefore our interior angles are
100, 110, 120, 130, 140, 150, 160, 170
and the largest interior angle is 170 degrees