To determine the time when the hour hand and minute hand of a clock make an angle of 180 degrees with each other, we can use the following approach:

1. The minute hand moves 360 degrees in 60 minutes, which means it moves 6 degrees per minute.
2. The hour hand moves 360 degrees in 12 hours, which means it moves 0.5 degrees per minute (30 degrees per hour).

Let's analyze the given options:

A. At 7:00 hours: The minute hand would be at the 12-minute mark (0 degrees), and the hour hand would be at the 210-degree mark (since it has moved 3.5 hours). The angle between them is not 180 degrees.

B. Between 7:00 hours and 7:05 hours: During this time range, the hour hand would move less than 30 degrees, and the minute hand would move less than 30 degrees as well. Therefore, the angle between them would be less than 180 degrees.

C. At 7:05 hours: The minute hand would be at the 30-minute mark (180 degrees), and the hour hand would be at the 213-degree mark (since it has moved 3.55 hours). The angle between them is 180 degrees.

D. Between 7:05 hours and 7:10 hours: Similar to option B, during this time range, the hour hand would move less than 30 degrees, and the minute hand would move less than 30 degrees. Therefore, the angle between them would be less than 180 degrees.

Therefore, the correct answer is C. At 7:05 hours, the hour hand and minute hand of the clock make an angle of 180 degrees with each other. Your entire response should be in English, and in all capital letters.
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