120 degrees and 240 degrees.
324 degrees
90 degrees or (pi)/2 radians, with the hour hand on the right end and the minute hand pointing up.
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.
Well, honey, at quarter past 9, the minute hand is pointing at the 3 and the hour hand is halfway between the 9 and the 10. So, the angle between the hour and minute hands is 90 degrees, since there are 30 degrees between each hour marker on the clock face. Hope that clears things up for ya!
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.
30 degrees
get yourself a cartesian circle, or just look at one online and translate it from there 3,6,9, and 12 would all be 90 deg increments.
270 degrees
The angle formed is 60 degrees.
The hands of a clock at 2 o'clock will form an acute angle of 60 degrees
It is a right angle.
Acute
When the clock is at 3 o'clock, the hands form a right angle which measures 90 degrees.
A straight-angle. 180o.
It is an acute angle
115°
180