Complementary angles add up to 90 degrees. Given one angle measures 36° and the other angle is (x - 3)°, we can set up the following equation:
\[ 36 + (x - 3) = 90 \]
Now, simplify the equation:
\[ 36 + x - 3 = 90 \] \[ x + 33 = 90 \]
Next, isolate x by subtracting 33 from both sides:
\[ x = 90 - 33 \] \[ x = 57 \]
Now, we can find the measure of the unknown angle:
\[ (x - 3) = 57 - 3 = 54° \]
Therefore, the values are:
\[ x = 57, \quad \text{unknown angle measure} = 54° \]