Instruction: Sketch each parallelogram described and solve for what is asked. 1. Quadrilateral ABCD has AB = x+ 3 and CD = 5x - 7. What is the length of X for which the quadrilateral is a parallelogram? 2. In parallelogram ABCD, the measure of LC = (15x + 49) and LA = (x +91)". Find the measure of both angles. 3. In parallelogram WXYZ, LX = (3x + 9)" and LY = 120. Find the value of y for which the quadrilateral is a parallelogram. 4. Parallelogram TIME with diagonals MT and El intersect point S. If MS = 4x + 3 %3D and ST = 5x - 4, find the measure of MT. 5. The vertices of a parallelogram on a cartesian plane are as follows; (1,4), (2,2), (6,3), and (5,5). Find the measure of the longest diagonal. %3D