Wilma and betty are playing a number game. wilma tells betty, "i'm thinking of a number between 1 and 10. if i take the number and add 4 to it and then multiply that by 3, i get 30." what number is wilma thinking of?

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.