Answer:
162.5°
Step-by-step explanation:
1. Calculate the number of minutes
(a) Subtract the hours and the minutes separately
2: 15
-1: 50
1: -35
(ii) If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.
1: -35
-1: +60
0: 25
The clock has been running for 25 min.
2. Calculate the travel of the minute hand (θm)
The clock face is a circle of 360°, and there are 60 min in 1 h,
so, the minute hand travels 6° in 1 min.
In 25 min, the minute hand will travel
θm = 25 × 6 = 150°
3. Calculate the travel of the hour hand (θh)
The hour hand travels 360° in 12 h, so it travels 30° in 1 h and 0.5° in 1 min.
It has travelled for 25 min.
θh = 25 × 0.5 = 12.5°
4. Calculate the sum of the angles
θm + θh = 150° + 12.5° = 162.5°
