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Since the angles are complementary, their measures add up to 90°.
Let's set up an equation to represent this:
36° + (x - 3)° = 90°
Now, let's solve for x:
36° + x - 3° = 90°
x + 33° = 90°
x = 90° - 33°
x = 57°
Now that we have the value of x, we can substitute it back into the equation to find the measure of the other angle:
(x - 3)° = (57° - 3°)°
(x - 3)° = 54°
Therefore, the value of x is 57° and the measure of the unknown angle is 54°.