# Clock hands

The hands on the clock shows the time 12 hours and 2 minutes. Calculate the size of a sharp angle between clock hands three hours later.

Result

x =  79 °

#### Solution:

$12:02+3:00 = 15:02 = 03:02 \ \\ x = (3+2/60)/12\cdot 360 - 2/60\cdot 360 \ \\ x = (3+2/60)\cdot 30 -2 \cdot 6 = 79 ^\circ = 79^\circ$

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