Solves Problems Involving Parallelogram, Trapezoids and Kites Which shape is best for catching flies? Solve each problem below. Find your solution in the answer column and notice the letter next to it. Write these letter in the boxes at the bottom of the page that contain the number of that problem. 1. Two consecutive angles of a parallelogram have measures (2x - 10)' and (3x + 25)]'. What is the measure of the smaller angle? 2. The diagonals of an isosceles trapezoid are represented by 34 cm x - 18 and 7x - 48.What is the value of x? D 3. The measure of two opposite angles of a trapezoid are 8x - 22 and 5x + 7 respectively. Find the measure of the larger angle. O 16 cm 4. Two sides of a parallelogram are in the ratio 2:5. If its perimeter T is 175 cm, find the length of the shortest side. E 5. 2B and ZA are opposite angles of parallelogram BEAM. If my] = 17x - 3, and mal = 15x + 11, find the mcE. A 64 6. The bases of a trapezoid have measures (x + 3jem and (2x - 5jem. P Its median is 86 cm long. How long is the shorter base? Z 7. The perimeter of an isosceles trapezoid is 179 cm. If the median is 55 cm and the bases are x - 5 cm and 4x + 1 cm, how long is a leg? R 25 cm 8. XY is the midsegment of trapezoid MNOP. MN = 12, T 61 cm XY = 3x + 1, and OF = 5x - 4.How long is XY? 9. The area of a kite is 30 cma.If the diagonals have measures x and x - 4 respectively. What is the sum of the diagonals of the kite? 10. BOAT is a kite. BO _ QA. If BO = 3x - 5 and OA = x + 35, how long is OA? 7 10 2 6 3