[felxh]

The fact that the Angles and Saxons were from an area that is currently Denmark means nothing. Territories, country borders and the languages and cultures occupying them have changed significantly in the north of Europe after the collapse of the roman empire to the present day.

The angles and saxons spoke a western germanic language, whereas modern danish is a northern germanic language.

EDIT: as a side node: Frisian is the language commonly regarded as being closest to English