Complementary angles sum up to 90°. Given that one angle is 36° and the other angle is (x - 3)°, we can write the equation:
\[ 36 + (x - 3) = 90 \]
Now solve for \( x \):
\[ 36 + x - 3 = 90 \] \[ x + 33 = 90 \] \[ x = 90 - 33 \] \[ x = 57 \]
Now, to find the unknown angle, substitute \( x \) back into the expression for the unknown angle:
\[ x - 3 = 57 - 3 = 54° \]
Thus, we have:
\[ x = 57, \quad \text{unknown angle measure} = 54° \]
So, the final answer is:
- \( x = 57 \)
- unknown angle measure = \( 54° \)