What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock ?

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.