When looking at the clock, we notice that the circumference is divided into 12 equal sections.
These sections represents the hours.
When the clock is exactly 1:00, the hands will be on the numbers 12 and 1.
Then, the angle between the hands will have the same ratio of the section on the circumference.
The section length between the 12 and the 1 is 1/12 of the circumference.
Then the angle between the hands will have the same ratio.
==> We know that the rotation of the circle is 360 degrees.
==> Then the angle is 1/12 of 360 degrees.
Then the angle = 1/12 * 360 = 30 degrees.
Then the acute angles between the hands is 30 degrees.