Two complementary angles have measures (4x) degree and (2x) degree what is the value of x and the two angle measures

Since two angles are complementary, their sum must be 90 degrees.

Thus, we can form the equation:
4x + 2x = 90

Combining like terms, we get:
6x = 90

Dividing both sides by 6, we find:
x = 15

Substituting this value back into the expressions for the angles:
4x = 4(15) = 60 degrees
2x = 2(15) = 30 degrees

Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.