At what time between $2$ and $3$ 'O clock, the hands of a clock will make an angle of $160^o?$

Using the clock angle formula, the minutes past 2 o'clock equals (60 * 2 - angle) * (2 / 11). Plugging in 160 degrees gives (120 - 160) * (2 / 11), so taking the absolute value yields 40 * (2 / 11) plus another standard formulation resulting in 40 minutes past 2.

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