In this picture, m∠AOC = 68° and m∠COD = (2x + 5)°. If ∠AOC and ∠COD are complementary angles, then what is the value of x?

Since ∠AOC and ∠COD are complementary angles, their sum must be 90°.

m∠AOC + m∠COD = 90°
68° + (2x + 5)° = 90°
2x + 73 = 90
2x = 17
x = 8.5

Therefore, the value of x is 8.5.