Since angles AOB and BOC are complementary, they add up to 90°. You are given that \( m \angle AOB = 79° \).
To find \( m \angle BOC \), you can use the formula:
\[ m \angle BOC = 90° - m \angle AOB \]
Substituting the value of \( m \angle AOB \):
\[ m \angle BOC = 90° - 79° = 11° \]
Thus,
\[ m \angle BOC = 11° \]