Question

what is the sum of the measures of the angles of a convex quadrilateral? will this property hold if the quadrilateral is not convex?​

Answer 1

The sum of the measures of the angles of a convex quadrilateral is 360° as a convex quadrilateral is made of two triangles. Yes, this property also holds true for a quadrilateral which is not convex. This is because any quadrilateral can be divided into two triangles.