A system is provided for an aircraft. This aircraft system includes an aircraft wing extending spanwise from a wing base to a wing tip. The aircraft wing extends chordwise from a leading edge to a trailing edge. The aircraft wing extends laterally between a first surface and a second surface. The aircraft wing includes a first section, a second section and a third section. The second section extends spanwise between and connects the third section and the first section. The second section is pivotally connected to first section at a first hinge line. The third section is pivotally connected to the second section at a second hinge line that is angularly offset from the first hinge line by a first acute angle.