First of all, it doesn't. The hour-hand and minute-hand align in opposite directions
only 22 times in 24 hours.
The reason is simply because the hands of an ordinary 12-hour analog clock go through
every possible orientation every 12 hours ... twice in 24 hours ... and if you take a clock,
set it to 12:00, and then crank it through 24 hours, you'll see the hands line up in a
180-degree angle 22 times.
120 degrees and 240 degrees.
190 degrees is bit more than a straight angle. If you look at a clock face with the minute hand at 312/3 minutes, then going from 12 o'clock to the minute hand makes an angle of 190 degrees.
324 degrees
When using autocad, 0 degrees was at 3 o' clock, then go anticlockwise for positive, clockwise for negative
Well, darling, 210 degrees is between 180 and 270 degrees on a standard protractor. So, picture a clock where the hour hand is pointing straight down towards 6, that's where 210 degrees would be. It's not rocket science, just a simple angle measurement.
7.5 degrees.
In the unique situation where an 'analog' clock is involved, whether runningor stopped, it turns out that the angle in question is precisely 120 degrees.
On an analog clock it would be 30 degrees. Each hour is going to be 30 degrees. So at 2 it would be 60 degrees.
2
6:02 on an analog clock is 168 degrees. 170 is between 6:01 and 6:02, closer to 6:02.
120
It will form a 300 degrees reflex angle
The angle formed is 60 degrees.
Think of the old fashioned analog clock at 1 o'clock. Now think of the angle between the hour hand and the minute hand. Not the little angle but the one that goes all the way from 1 through 6 to 12. That angle is 330 degrees.
look at an analog clock and whatever time it is you can determine if it is a right angle, acute, obtuse, or straight. look at the borders of doors or the ceiling
A right angle which is 90 degrees
240 degrees - 30 degrees for each hour on the clock