How did you 'put an edge component into another html page'? What process did you follow to achieve this?
In Animate composition all the styles are added as inline styles.
You can overcome them using the trick mentioned here : http://css-tricks.com/override-inline-styles-with-css/
I simply put the Edge runtime stuff in the header, the Edge files into the root, and copied the div with the class "Stage" and id into the body... Et viola.
I also saw an article on bottstrapping your edge animations so that you can place multiple compositions into one html page -http://blogs.adobe.com/edge/2012/05/15/bootstrapping-edge-compositions/
but I haven't tried it yet, because I ran into css issues. Hopefully the answer by rhemanthkumar has solved this.