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Let's analyze the time on the clock and calculate the angle formed by the hands.

The time shown is 10:00.

### Step-by-step approach to calculating the smaller angle:
1. **Total degrees in a clock**: The face of a clock is a circle, which is 360°.
2. **Degrees between each hour mark**: Since there are 12 hours on a clock, the degrees between two consecutive hour marks is:
   \[
   \frac{360^\circ}{12} = 30^\circ
   \]
3. **Hour hand at 10 o'clock**: The hour hand is exactly on the 10.
4. **Minute hand at 12 o'clock**: The minute hand is exactly on the 12.

### Calculate the angle:
The hands are 2 hours apart (from 10 to 12). Each hour represents 30°, so the angle between the hour and minute hands is:
\[
2 \times 30^\circ = 60^\circ
\]

Since this is the smaller angle between the hands, the answer is \(60^\circ\).

Would you like a more detailed explanation or have further questions?

Here are some related questions:
1. How would the angle change if the time were 10:15?
2. What would the larger angle between the hands be at 10:00?
3. How do you calculate the angle between the hands at any given time?
4. What is the formula for calculating the angle if the time isn't on the hour?
5. How can you determine if an angle is the smaller or larger one?

**Tip**: Always remember that the total angle in a clock is 360°, and each hour represents 30°!

Find the measure of the smaller angle formed by the hands of a clock at 10:00.

Calculate the smaller angle formed by the hands of a clock at 10:00. Learn how each hour mark represents 30°, and how to use simple geometry to solve the problem. This problem is suitable for students in Grades 6-8.

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