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Q: What do the interior angles of a convex and concave quadrilateral equal?

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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.

Interior angles of any quadrilateral always total 360o.

If any of the angles is greater than 180 degrees, the quadrilateral is concave.

concave

Yes, be it a common convex quadrilateral or a concave quadrilateral. For a convex quadrilateral, the most obvious example is a irregular trapezium, where the upper base and the lower base are of different length, and the slanted sides are of different length. It is similar for a concave quadrilateral.

Hmmm... how bout 360 degrees ?

A concave quadrilateral would be a non-convex quadrilateral. * * * * * Also known as delta or arrowhead or chevron.

A concave quadrilateral. An arrowhead or a delta, for example.

By definition, a regular polygon has all interior angles the same, but a concave polygon has some interior angles that are not identical. Also, it violates the axiom that all vertices lie on a circle.While it is possible to construct a polygon with equilateral sides, to be concave would require a form that is equally convex and laterally opposite. (An example is a 'solid arrow shape.')

A normal 2-D quadrilateral would be neither convex or concave. There are three-dimensional quadrilaterals, such as prisms, but it would depend on the shape.

What is the sum of the measures of the angles of a convex quadrilateralwill this property hold if the quadrilateral is not convex?

It would be a concave quadrilateral The link below has some pics.

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