The mathematical meaning of the adjective “identical” is identical with the mathematical meaning of the adjectives “same” and “equal”.
Please look at the watch again:
There is no doubt. The same angular degree. The two hands of the watch have the same angle. Which one it is is easily to find out.
And geometry is not enough.
The main part of the task is not a geometrical one, by the way.
What I mean is easily to find out by the text and the picture of my post:
No.
The 12 is the axis line, but that is already clear because of the text and because of the picture. Here comes the picture again:
Geometrically “no angle” is not possible.
The equivalents betweenn the numbers of the watch and the degree values:
0 <=> 0°.
1 <=> 30°.
2 <=> 60°.
3 <=> 90°.
4 <=> 120°.
5 <=> 150°.
6 <=> 180°.
7 <=> 210°.
8 <=> 240°.
9 <=> 270°.
10 <=> 300°
11 <=> 330°.
12 <=> 360°.
Look at the watch again:
Yes, I know, but that is irrelevant. Again: What I mean is easily to find out by the text and the picture of my post:
You know from your own language that the 12 is always the pivotal point. For example: You know what it means when you say “12 o’clock”, “3 o’ clock”, or “5 past 12”, “5 past 3”, … and so on. “12 o’clock” <=> where are both hands of your watch? “5 past …” Why “5”? … You know? It is always with reference to the 12.
If the pivotal point was (it is not!) “half past 4”, then both would have identical angles (45 degrees, by the way - but according to the logic/mathematics and technique of all watches your example it is not possible, by the way). It is a tiny part of the task that one has to know what the pivotal point of a watch is.
No. It is exactly the opposite that is true.