A glass laminate structure comprising a non- strengthened external glass sheet, a strengthened internal glass sheet, and at least one polymer interlayer intermediate the external and internal glass sheets. The internal glass sheet can have a thickness ranging from about 0.3 mm to about 1.5 mm, the external glass sheet can have a thickness ranging from about 1.5 mm to about 3.0 mm, and the polymer interlayer can have a first edge with a first thickness and a second edge opposite the first edge with a second thickness greater than the first thickness. Other embodiments include external and internal strengthened glass sheets as well as an external strengthened glass sheet and an internal non- strengthened glass sheet.