472 CHAPTER 8 Geometry In Exercises 23–28, identify the quadrilateral. 23. Trapezoid 24. Rectangle 25. Square 26. Parallelogram 27. Rhombus 28. Trapezoid In Exercises 29–32, determine the measure of x. 29. 1328 x 378 ° 95 30. 278 578 x ° 150 31. 1338 1058 x ° 58 32. 308 358 x ° 65 In Exercises 33 and 34, lines l1 and l2 are parallel. Determine the measures of 1 through 12. 33. 508 408 2 1 5 6 7 8 9 10 11 12 4 3 l1 l2 * 34. 598 708 1 2 3 4 5 6 9 10 11 12 7 8 l1 l2 * In Exercises 35– 40, determine the sum of the measures of the interior angles of the indicated polygon. 35. Pentagon ° 540 36. Heptagon ° 900 37. Octagon ° 1080 38. Nonagon ° 1260 39. Dodecagon ° 1800 40. Icosagon ° 3240 In Exercises 41– 46, (a) determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. See Example 1. 41. Triangle a) ° 60 b) ° 120 42. Quadrilateral a) ° 90 b) ° 90 43. Hexagon a) 120° b) 60° 44. Octagon a) 135° b) 45° 45. Nonagon a) ° 140 b) ° 40 46. Dodecagon a) 150° b) 30° In Exercises 47–52, the figures are similar. Determine the length of side x and side y. 47. B B9 A C A9 x C9 50 25 10 40 y = = x y 20, 16 48. 50 40 20 12 B C C' y B' A' A x 49. A B D x C y 9 6 15 10 D9 A9 B9 C9 = = x y 6, 10 50. y x 15 24 45 12 = = x y 8, 22.5 51. A B D C x y 16 17 18 A' B' D' C' 22.5 = = x y 20, 21.25 = = x y 30, 16 *See Instructor Answer Appendix
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