462 CHAPTER 8 Geometry 27. BC CF FB < < ΔBCF 28. < < BC CF FB ΔBCF 29. h h BG CI > { }F 30. > C CH { } ∅ In Exercises 31– 42, use the figure to determine the following. In Exercises 55– 60, determine the supplementary angle of the given angle. 55. 29° 151° 56. 167° 13° 57. 20.5° 159.5° 58. 148.7° 31.3° 59. 43 5 7 136 2° 7 60. 64 7 16 115 9° 16 In Exercises 61– 66, match the descriptions of the angles with the corresponding figure in parts (a)–(f). 61. Alternate exterior angles (a) 62. Alternate interior angles (e) 63. Supplementary angles (c) 64. Complementary angles (f) 65. Vertical angles (b) 66. Corresponding angles (d) a) b) 1 2 1 2 1 2 1 2 c) d) 1 2 1 2 e) f) Problem Solving 67. MODELING—Complementary Angles If 1 and 2 are complementary angles and if the measure of 2 is 5 times the measure of 1, determine the measures of 1 and 2. = = m m 1 15°, 2 75° 68. MODELING—Complementary Angles The difference between the measures of two complementary angles is 8°. Determine the measures of the two angles. 49° and 41° 69. MODELING—Supplementary Angles The difference between the measures of two supplementary angles is 102°. Determine the measures of the two angles. 141° and 39° 70. MODELING—Supplementary Angles If 1 and 2 are supplementary angles and if the measure of 2 is 17 times the measure of 1, determine the measures of the two angles. = = m m 1 10°, 2 170° A B C D E F G 31. h h BC BG < CBG or GBC 32. h h BC BD < CBD or DBC 33. GBC CBE > hBC 34. ABD DBG > hBD 35. ABG CBD > { }B 36. ABD CBG > { }B 37. h DBF FG > BF 38. h EBF ED > BE 39. h CBG BG < CBG or GBC 40. CBF BC < CBF or FBC 41. < ABE AB ABE EBA or 42. h BF BE < FBE EBF or In Exercises 43– 48, classify the angle as acute, right, straight, obtuse, or none of these angles. 43. 44. Acute Right 45. 46. Obtuse Straight 47. 48. None of these angles None of these angles In Exercises 49–54, determine the complementary angle of the given angle. 49. 13° 77° 50. 62° 28° 51. 323° 4 57 1° 4 52. 312° 5 58 3° 5 53. 64.7° 25.3° 54. 0.01° 89.99°
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