What is the greatest number of interior right angles a convex octagon can have?
A convex octagon has interior angles that add to (8 - 2)(180) = 1080 degrees
If there is one right angle, the remaining angles must average (1080-90) / 7 ≈ 141.4 degrees
If there are two right angles, the remaining angles must average (1080 - 180) / 6 = 150 degrees
If there are three right angles, the remaining angles must average (1080 - 270) / 5 = 162 degrees
If there are four right angles, the remaining angles must average (1080 - 360) / 4 = 180 degrees, but this isn't possible while remaining convex.
So the largest possible number of right angles is three.
(Thank you for helping me with the other math problems I posted earlier... )