All the movie cameras I have used had the shutter closed when in the stopped position, if they were working properly, therefore you could say that the cycle begins closed and ends closed. A few may stop with the shutter open, but by and large the better ones would be designed to stop with the shutter closed. This applies to both electric and clockwork cameras - even when the clockwork winds down (a decent clockwork camera will cut out before the speed drops too much from the set point, some cheaper ones allow a slow-down). Some shutters are oscillating, notably many Bolex and Beaulieu, and the Eclair ACL, while others are rotating. Rotating shutters lead to the use of shutter angle - ie the proportion of the full rotation that the shutter was open for. 180° means that the shutter is open for exactly half the full cycle, and is common. For example at 180° and 24 fps, the shutter would be closed for 1/48 s and open for 1/48 s. Angles can vary by camera, and some cameras allow the shutter angle to be varied from the maximum to almost (or even fully) closed. That adjustment may have had to be done while the camera was not running, depending on the camera.
While 180° is probably the most common default/maximum angle for a camera, the maximum angle could vary from around 170° to over 220° for some cameras. Cameras with oscillating shutters often used the nominal shutter angle, simply because it was the normal way of describing shutter speed. Your example would be a 162° shutter.
The Bolex reflex cameras with a beam splitter (and zoom lenses with a beam splitter and viewfinder built in to the lens itself) instead of a mirror in the reflex viewing system used a shutter speed fiddle to account for the light loss - ie they used a true shutter speed, and a corrected one for exposure equivalence. You would need to know which one was being referred to if you wanted to know how long the shutter was open for.
Projectors are entirely different, by the way. They usually have shutters with two or three blades, so that the flicker cycle happens at around 50 Hz or higher. A two-bladed shutter on a 24 fps sound projector results in a 48 Hz flicker. A three-bladed shutter on a 16 fps silent projector also results in a 48 Hz flicker. There's an old joke about a guy who asks for half his money back after watching a movie, because he sat in the dark for half of the time. The ticket seller refuses, because he points out that he saw the movie twice.