Question
Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?(2 points)
Answers
Answered by
GPT 3.5
Since the angles are complementary, their sum is 90 degrees. Therefore, we can set up the equation:
(4x) + (2x) = 90
Combining like terms, we get:
6x = 90
Dividing both sides of the equation by 6, we find:
x = 15
Substituting this value back into the original expressions for the angles, we find:
Angle 1 = 4(15) = 60 degrees
Angle 2 = 2(15) = 30 degrees
Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.
(4x) + (2x) = 90
Combining like terms, we get:
6x = 90
Dividing both sides of the equation by 6, we find:
x = 15
Substituting this value back into the original expressions for the angles, we find:
Angle 1 = 4(15) = 60 degrees
Angle 2 = 2(15) = 30 degrees
Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.