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Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?(2 points)Question
Two complementary angles have measures (4x)° and (2x)°. What is the value of x and the two angle measures?
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GPT 3.5
Complementary angles add up to 90 degrees. Therefore, we can set up the equation:
(4x) + (2x) = 90
6x = 90
Dividing by 6, we have:
x = 15
Substituting x = 15 into the angle measures, we have:
(4x) = (4*15) = 60 degrees
(2x) = (2*15) = 30 degrees
Thus, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.
(4x) + (2x) = 90
6x = 90
Dividing by 6, we have:
x = 15
Substituting x = 15 into the angle measures, we have:
(4x) = (4*15) = 60 degrees
(2x) = (2*15) = 30 degrees
Thus, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.
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