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The measure of each of the interior angles of a convex polygon must be less than blank degrees?
180
Is a square a convex polygon?
Yes it is. It is surely a polygon and convex means all interior angles are less than a straight angle ( i.e.180 degrees).
Is a triangle convex or concave?
Three vertices polygons (aka triangle) can not be concave or convex because it doesn't have enough verticies to susustain an internal angle is less than or equal to 180 degrees. * * * * * Actually, a triangle IS a convex polygon. Convexity requires angle to be less than 180 degrees and since the three angles of a triangle sum to 180 degrees, each one of them MUST be less than 180 degrees!
Is a hexagon a convex figure?
It depends on what the angles are. If any of the angles have measurements greater than 180 degrees, it is concave. If all angles are less than 180 degrees, then it is concave. For example, a regular hexagon has six 120 degree angles, so it is convex. If there was a hexagon with five 90 degree angles and one 270 degree angle, it would be concave.
Is a concave quadrilateral less than 180 degrees?
The sum of the interior angles of a quadrilateral is 360 degrees (not 180). The sum of the exterior angles is also 360 degrees. Whether the quadrilateral is convex or concave is not relevant.
