532 CHAPTER 5 Trigonometric Functions Find the measure of each marked angle. See Example 2. 23. (7x)° (11x)° 24. 25. (2x)° (4x)° 26. (5x + 5)° (3x + 5)° 27. 28. (9x)° (9x)° 29. supplementary angles with measures 10x + 7 and 7x + 3 degrees 30. supplementary angles with measures 6x - 4 and 8x - 12 degrees 31. complementary angles with measures 9x + 6 and 3x degrees 32. complementary angles with measures 3x - 5 and 6x - 40 degrees Find the measure of the smaller angle formed by the hands of a clock at the following times. 33. 34. 35. 3:15 36. 9:45 37. 8:20 38. 6:10 Perform each calculation. See Example 3. 39. 62° 18′ + 21° 41′ 40. 75° 15′ + 83° 32′ 41. 97° 42′ + 81° 37′ 42. 110° 25′ + 32° 55′ 43. 47° 29′ - 71° 18′ 44. 47° 23′ - 73° 48′ 45. 90° - 51° 28′ 46. 90° - 17° 13′ 47. 180° - 119° 26′ 48. 180° - 124° 51′ 49. 90° - 72° 58′ 11″ 50. 90° - 36° 18′ 47″ 51. 26° 20′ + 18° 17′ - 14° 10′ 52. 55° 30′ + 12° 44′ - 8° 15′ Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. See Example 4(a). 53. 35° 30′ 54. 82° 30′ 55. 112° 15′ 56. 133° 45′ 57. -60° 12′ 58. -70° 48′ 59. 20° 54′ 36″ 60. 38° 42′ 18″ 61. 91° 35′ 54″ 62. 34° 51′ 35″ 63. 274° 18′ 59″ 64. 165° 51′ 09″ Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. See Example 4(b). 65. 39.25° 66. 46.75° 67. 126.76° 68. 174.255° 69. -18.515° 70. -25.485° 71. 31.4296° 72. 59.0854° 73. 89.9004° 74. 102.3771° 75. 178.5994° 76. 122.6853° (20x + 10)° (3x + 9)° (–4x)° (–14x)°
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