Hinged wearable electronic devices

An electronic device may have rigid members such as links in a strap that are joined by rotating joints. The joints may include friction hinges. In a head mounted device, straps may be folded for storage within an interior region in the housing of the head mounted device. A strap coupled to a wristwatch may have portions that fold to hide components mounted on the strap. A strap with two parallel strap portions may be configured to serve as a support for a cellular telephone or other device with a display. A strap can also be configured to tilt a display that is coupled to the strap to a desired viewing angle relative to a user's wrist. An electronic device may have multiple support structures that are joined by a friction hinge. The support structures may be used to clamp the device on a user's finger.