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Electronic device for reading and setting angles. An electronic angle or position sensing mechanism is mounted together with appropriate circuitry, controls and a digital readout in a small housing having a base and at least one side, and preferably two sides, oriented at right angles to the base. A relatively powerful permanent magnet, such as a rare earth magnet, is fixed in each housing side so that the entire device can be temporarily attached to a ferromagnetic metal surface with one of the magnet-containing housing walls in firm contact with that metal surface, such as the side of a circular saw blade or a machine fence.