Section 2.6 Literal Equations and Applications of Geometry 171 49. Sometimes memory devices are helpful for remembering mathematical facts. Recall that the sum of the measures of two complementary angles is . That is, two complementary angles when added together form a right angle or “corner.” The words Complementary and Corner both start with the letter “C.” Derive your own memory device for remembering that the sum of the measures of two supplementary angles is 180°. “Adjacent supplementary angles form a straight angle.” The words Supplementary and Straight both begin with the same letter. y y° x x y 90 a 51. Two angles are complementary. One angle is 20° 52. Two angles are complementary. One angle is less than the other angle. Find the measures of the angles. (See Example 4.) The measures of the angles are 55° and 35°. 57. The largest angle in a triangle is three times the smallest angle. The middle angle is two times the smallest angle. Given that the sum of the angles in a triangle is 180° , find the measure of each angle. (See Example 5.) x° x° y° 180° less than three times the other angle. Find the measures of the angles. The measures of the angles are 23.5° and 66.5°. (3y 26) b 58. The smallest angle in a triangle measures 6° less than the largest angle. The middle angle measures 60° less than the largest angle. Find the measure of each angle. 90° 59. The smallest angle in a triangle is half the largest angle. The middle angle measures 30° less than the largest angle. Find the measure of each angle. 60. The largest angle of a triangle is three times the middle angle. The smallest angle measures 10° less than the middle angle. Find the measure of each angle. 90° Complementary angles form a “Corner” Supplementary angles . . . 50. What do you know about the measures of two vertical angles? The measures are the same. (5y 54) (3x)° (2x)° x° x° (2x 3)° (x 17)° The measures of the angles are 30°, 60°, and 90°. The measures of the angles are 20°, 50°, and 110°. The measures of the angles are 42°, 54°, and 84°. The measures of the angles are 38°, 28°, and 114°. 4° 53. Two angles are supplementary. One angle is three times as large as the other angle. Find the measures of the angles. The measures of the angles are 45° and 135°. 54. Two angles are supplementary. One angle is more than four times the other. Find the measures of the two angles. The measures of the angles are 34.8° and 145.2°. 55. Find the measures of the vertical angles labeled in the figure by first solving for x. x 20; the vertical angles measure 37°. 56. Find the measures of the vertical angles labeled in the figure by first solving for y. y 40; the vertical angles measure 146°. Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
To see the actual publication please follow the link above