A Convex, $11$-Sided Polygon Can Have At Most How Many Obtuse Interior Angles? Note: Convex Means That Each Interior Angle Measure Is Less Than $180^\Circ$.. Hence, maximum of three acute angles a convex polygon can have. Convex means that each interior angle measure is less than $180^\circ$.

To find the measure of the angles, we know that the sum of all. Convex means that each interior angle measure is less than $180^\circ$. Therefore, a polygon can have a maximum of three acute angles in it.