At four o’clock the minute hand is on the 12 and the hour hand is on the 4.  The angle formed is 4/12 of the total number of degrees in a circle, 360.

4/12 * 360 = 120 degrees

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.

The minute hand on the clock will point at 15 minutes, allowing us to calculate it's position on the circle.

Since there are 12 hours on the clock, each hour mark is 30 degrees.

We can calculate where the hour hand will be at 8:00.

However, the hour hand will actually be between the 8 and the 9, since we are looking at 8:15 rather than an absolute hour mark. 15 minutes is equal to one-fourth of an hour. Use the same equation to find the additional position of the hour hand.

We are looking for the angle between the two hands of the clock. The will be equal to the difference between the two angle measures.

A analog clock is divided up into 12 sectors, based on the numbers 1–12. One sector represents 30 degrees (360/12 = 30). If the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degrees between then, thus they are 120 degrees apart (30 * 4 = 120).

The entire clock measures 360°. As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). The distance between the 2 and the 3 on the clock is 30°.  One has to account, however, for the 10 minutes that have passed. 10 minutes is 1/6 of an hour so the hour hand has also moved 1/6 of the distance between the 3 and the 4, which adds 5° (1/6 of 30°). The total measure of the angle, therefore, is 35°.

To isolate  on one side, subtract seven from both sides

To solve the equation for , you must isolate  on one side.  Here you can divide both sides by 3.

To solve equations, you must perform the same operations on both sides.

Subtract 5 from both sides.

In order to solve a one step equation, we want to isolate the variable. To do this, we pay special attention to what is being done to the variable. In this case we are multiplying the variable by . To "undo" this, we use the inverse of multiplication, which is division; thus we divide by  on both sides. Note that we are dividing by  since that is what is being multiplied; don't be tricked into dividing by .

Dividing both sides by , we get .

To solve for  we must get all of the numbers on the other side of the equation as .

To do this in a problem where  is being multiplied by a number, we must divide both sides of the equation by the number.

In this case the number is  so we divide each side of the equation by  to make it look like this .

The s cancel to leave  by itself.

Then we perform the necessary division to get the answer of .

To solve for  we must get all of the numbers on the other side of the equation as .

To do this in a problem where  is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is  so we add  to each side of the equation to make it look like this 

The s cancel on the left side and leave  by itself.

Then we perform the necessary addition to get the answer of .