https://file.aiquickdraw.com/mathbot/file/1726292773977d4umc3dj.jpg

The question in the image is in Gujarati and translates to:

"At 5:30, what angle is formed between the hour hand and the minute hand of the clock?"

Let's solve this.

### Step-by-step explanation:
1. **Hour hand movement:**
   - The hour hand moves 30 degrees for every hour (360°/12 hours).
   - At 5:30, the hour hand is halfway between 5 and 6, so its position is:
     \[
     5 \times 30 + \left(\frac{30}{60}\right) \times 30 = 150 + 15 = 165^\circ
     \]
     So, the hour hand is at 165 degrees from the 12 o'clock position.

2. **Minute hand movement:**
   - The minute hand moves 6 degrees per minute (360°/60 minutes).
   - At 30 minutes, the minute hand is at:
     \[
     30 \times 6 = 180^\circ
     \]
     So, the minute hand is at 180 degrees from the 12 o'clock position.

3. **Angle between the hour and minute hand:**
   - The angle between the two hands is the difference between their positions:
     \[
     |180^\circ - 165^\circ| = 15^\circ
     \]
   
Thus, the angle between the hour hand and the minute hand at 5:30 is **15 degrees**.

The correct answer is option **D) 15°**.

Let me know if you need further details!

Here are five related questions to expand on this:
1. What is the angle between the hands of the clock at 4:20?
2. How many degrees does the hour hand move per minute?
3. What is the smallest angle between the hands of a clock at 3:15?
4. How can we calculate the angle if the time is not exact, such as 7:45?
5. What is the reflex angle between the hands at 2:00?

**Tip:** The formula for finding the angle between the hands of a clock at any given time is:  
\[
\text{Angle} = \left|30H - 5.5M\right|
\]  
where \( H \) is the hour, and \( M \) is the minutes.

At 5:30, what angle is formed between the hour hand and the minute hand of the clock?

Find out how to calculate the angle between the hour and minute hands at 5:30 using basic geometry. The problem explains the step-by-step approach, key formulas, and provides the final answer of 15 degrees. Suitable for Grades 6-8.

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