Ms. Smith made 30 cupcakes. She put vanilla icing 1/3 of the cupcakes and chocolate icing on 1/2 of the remaining cupcakes. The rest will get strawberry icing. How many cupcakes will get strawberry icing?

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the two angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? explain your answer.