Two angles are complementary if the sum of their measures is 90 degrees.
Given that the first angle measures (4x) degrees and the second angle measures (2x) degrees, the sum of their measures is:
(4x) + (2x) = 6x
According to the definition of complementary angles, this sum must be equal to 90 degrees. Therefore, we can set up the equation:
6x = 90
Dividing both sides of the equation by 6, we find:
x = 90/6 = 15
Thus, the value of x is 15.
Now, substituting this value of x back into the expressions for the angle measures, we find:
First angle: 4x = 4(15) = 60 degrees
Second angle: 2x = 2(15) = 30 degrees
Therefore, the value of x is 15, and the two measures are 60 degrees and 30 degrees.
Two complementary angles have measures (4x) degrees and (2x) degrees what is the value of x and the two measures?
1 answer
1 answer