I'll go out on a limb here, make a possibly unwarranted assumption, rush in with
no concern for my personal welfare to a place where angels fear to tread, and
presume that you're talking about the angle formed by the hour- and minute hands
of an old fashioned clock.
On that assumption, I count eleven (11) of them.
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2
90 degree angle
44. 22 in each 12 hour cyccle.
22 times in a day.
24 times