Here's a breakdown:
* Deliberately: This means that the person is doing this on purpose, not by accident.
* Obtuse: This means lacking sharpness of intellect or understanding. It can also mean blunt or dull.
Examples:
* "The politician gave a deliberately obtuse answer to the reporter's question, hoping to avoid taking a clear stance on the issue."
* "My friend's comments were so deliberately obtuse that I wasn't sure if she was being serious or not."
Other words that convey a similar meaning:
* Evasive
* Noncommittal
* Vague
* Insincere
* Unresponsive
In short, being deliberately obtuse is a way of being intentionally unclear or unintelligent, often for manipulative purposes.