Assertion: rhombus's angle | /r/HasProperty | less than 180°
Facets:
value: in a convex quadrilateral
type: LOCATION
value: for a convex quadrilateral
type: OTHER
Source sentences:
text: Each interior angle is less than 180° and the two diagonals are inside the closed space of the quadrilateral Concave --
text: Because the interior angles of a quadrilateral is 360°, we know that the remaining two angles must have a sum of 180° (because 360-180=180).
text: But then I thought about it and realized that the only self-intersecting equilateral quadrilateral would be the type of degenerate case you mentioned (although the angle between the first two sides could be 180 degrees (allowed under some definitions of polygon), or 0, in which case it's even more degenerate, and all four sides are coincident), and thought that that couldn't possibly be considered a polygon, so I undid that revision.
text: For a convex quadrilateral, each interior angle will be less than 180°
text: In a convex quadrilateral, all interior angles are less than 180° and the two diagonals both lie inside the quadrilateral.