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To find the value of x, we can set up an equation based on the fact that complementary angles add up to 90 degrees:
(2x) + (3x) = 90
Combining like terms, we get:
5x = 90
Dividing both sides by 5, we find:
x = 18
Now we can substitute this value of x back into the expressions for the angle measures:
(2x) = 2(18) = 36
(3x) = 3(18) = 54
So, the value of x is 18, the first angle measure is 36 degrees, and the second angle measure is 54 degrees.