same kind, compare with
伉 centers on pairing or matching: things of the same kind, or the act of comparing one with another.
伉 combines 亻 (person) with 亢, which likely contributes the sound and may relate to height or pairing. The exact historical development is uncertain.
A person 亻 standing beside 亢, which looks like a tall, straight frame. Imagine two people of the same height being compared side by side.
For コウ, picture two people of the same kind standing together like a pair of co-workers: co -> コウ, and they compare their matching uniforms.