Let x represent the measurment of an acute angle in degrees. the ratio of the complement of x to the supplement of x is 2: 5. gu ess and check to determine the value of x. explain why your answer is correct.
1 answer:
Ratio of complement of x : supplement of x 2 : 5 ⇒ 2 times the supplement of x will be equal to 5 times the complement of x 5(90 - x) = 2 (180 - x) 450 - 5x = 360 - 2x 5x - 2x = 450 - 360 3x = 90 x = 30° Complement of x = 90 - x = 90 - 30 = 60 Supplement of x = 180 - x = 180 - 30 = 150 Ratio: 60 : 150 60 ÷ 30 : 150 ÷ 30 2 : 5 (checked)
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