The longer you have spent as a photographer, the more likely it is that you're going to encounter a difficult-angled photo at some point.
With many of today's point and shoot cameras, this can be especially tough, as you must frame the photo with the LCD, limiting your options. However, when your LCD swivels away from the camera, you can create some interesting angles, making it easier to capture these types of photographs.
Click the link to read through my list of the best cameras with swivel LCD screens -- articulated LCDs -- allowing odd-angle photos, such as the Samsung MV800 pictured here.
Photo courtesy Samsung