A convex, 11-sided polygon can have at most how many acute interior angles?

Guest Aug 2, 2017

1+0 Answers


A convex, 11-sides polygon (known as a hendecagon) may only have, at most, 3 acute interior angles.


This is because each acute angle results in an exterior angle that is greater than 90 degrees. If you were to add a fourth exterior angle, the sum of all the exterior angles will be greater than 360 degrees. Of course, the sum of all the exterior angles in a convex polygon must be equal to 360, so if the sum of all are greater than this number, you can cannot create a convex polygon. 

TheXSquaredFactor  Aug 2, 2017

18 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details