Explanation:

Solution with Explanation:

Step 1: Understanding the clock's behavior

• The clock was set correctly at 10:00.
• Normally, after 1 hour, the hour hand would move 30° (since it moves 30° per hour).
• However, the clock loses 10 minutes per hour, meaning in reality, it only shows 10:50 instead of 11:00 after 1 hour.

Step 2: Finding the actual position of the hands

Hour Hand Movement:

• Normally, the hour hand moves 30° per hour.
• In 50 minutes, the hour hand moves 
•                                                                 30    ×50=25°
•                                                                  60
• • So, the hour hand is at 10 + 25° from the 10 o’clock position.

• Minute Hand Movement:

  • The minute hand moves 6° per minute.
  • In 50 minutes, the minute hand moves
  •                             50×6=300°
  • 1. • This means the minute hand is at the 10-minute mark before the full circle (i.e., 300° from 12 o'clock).

    Step 3: Calculating the angle between the hands

    • The angle between the hour and minute hands is given by:

      ?(Hour Hand Position−Minute Hand Position)?
    •                    ?(25°−300°)?
    •                      =?25°−300°?
    •                      =?−275°?

      Since the clock is circular, the smaller angle between the hands is:

                                         360°−275°=85° 

      However, we need the direct smaller angle from 10:50 position, which simplifies to:

                                               50°

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    Final Answer:

     Option (2): 50°