Question

A (not necessarily convex) 11-sided polygon can have at most how many right interior

angles? Be sure to explain why an 11-sided polygon can have that number of right interior angles, and why it can’t have any more than that. You will be graded on your explanation. Please help!

Answer 1

Answer: 8

Explanation:

If there were 9 right angles, then these would add up to 180, forcing the remaining two interior angles to add up to 1620 = 810. But that is impossible, because even if they are reflex angles, these two angles must each be less than 360 degrees

Therefore, 9 right interior angles are impossible, and 8 is the maximum number possible.

Answer 2

because if it did, then the degrees of angles wouldn't equal 360 anymore.

Explanation:

(i think) hope this helps