Question
Two complementary angles have measures (4x) and (2x) what is the value of x and the two angle measures
Answers
GPT 3.5
Complementary angles are angles whose measures add up to 90 degrees.
Given that the two angles have measures of 4x and 2x, we can set up the equation:
4x + 2x = 90
6x = 90
Solving for x, we divide both sides by 6:
x = 90/6
x = 15
Substituting x back into the expressions for the angles:
4x = 4 * 15 = 60
2x = 2 * 15 = 30
Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.
Given that the two angles have measures of 4x and 2x, we can set up the equation:
4x + 2x = 90
6x = 90
Solving for x, we divide both sides by 6:
x = 90/6
x = 15
Substituting x back into the expressions for the angles:
4x = 4 * 15 = 60
2x = 2 * 15 = 30
Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.