Question

give one example of a time after 1:00 and before 2:00 when the hands of the clock form an obtuse angle

Answer 1

Any time after 1:15 because 1:15 forms a right angle(90 degrees) so anything after that(1:16 to 1:59) is an obtuse angle! Hope that helps!! :)

Answer 2

generally true, but the right angle is not at exactly 1:15, because the hour hand has also moved 1/4 of the way from 1 to 2.

after m minutes,
the minute hand has moved m/60*360 = 6m°
the hour hand has moved to 30+m/2°
So, we need to find m when

6m = 30 + m/2 + 90
11m/2 = 120
t = 21.8

So, the hands form a right angle at 1:21:48

After that the angle is obtuse

Answer 3

Well, okay if you want a direct answer, it would be 1:45 or 1:30. Just guessing.