Two complimentary angles have measures (2x) and (3x). What is the value of x and the two angle measures

Complementary angles are two angles that add up to 90 degrees.

So, we can set up the equation:
(2x) + (3x) = 90

Combining like terms, we get:
5x = 90

Dividing both sides by 5, we get:
x = 18

Substituting x = 18 back into the equations for the angle measures:
2x = 2(18) = 36
3x = 3(18) = 54

Therefore, the value of x is 18 and the two angle measures are 36 degrees and 54 degrees.