Since angles \( \angle 1 \) and \( \angle 2 \) are complementary, their measures add up to 90 degrees. This can be expressed with the equation:
\[ m\angle 1 + m\angle 2 = 90 \]
Given that \( m\angle 2 = 26 \), we can substitute this value into the equation:
\[ m\angle 1 + 26 = 90 \]
So, we can fill in the blanks as follows:
\[ m\angle 1 + 26 = 90 \]