Can a quadrilateral have 4 obtuse angles?

No, because a quadrilaterals angles total 360 which means all angles are 90.

The question is asking to state id the a quadrilateral have 4 obtuse angles, and base on my further research and investigation, I would say that it is not Possible that a quadrilateral would have 4 obtuse angles. I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications