Two complementary angles have measures (4x) ® and (2x)°. What is the value of x and the two angle measures? (2 points)
Two angles are complementary if their sum is 90 degrees.
Therefore, we have the equation (4x) + (2x) = 90.
Combining like terms, we get 6x = 90.
Dividing both sides of the equation by 6, we find x = 15.
Thus, the two angles are 4x = 4(15) = 60 degrees and 2x = 2(15) = 30 degrees.
The value of x is 15, and the two angle measures are 60 degrees and 30 degrees.