Find the measures of the angle formed by the hands of a clock at 10:37

96.5°

Step-by-step explanation:

Angle between two numbers on the clock:

360/12 = 30

Angle between hour hand and 10:

37/60 * 30 = 18.5

Angle between 8 and 10:

2 * 30 = 60

Angle between minute hand and 8

(40-37) / 5 * 30 = 18

Angle between two hands:

18.5 + 60 + 18

96.5

96.5

Step-by-step explanation:

we split the clock into 720 bits. at 10 37 the small hand will be at part 637 while the hand will be 12*37 Which is 444. 637 - 444 = 193. 193/2 is 96.5