# Clock angles - 4

Geometry Level 2

John looks at his clock at 6:44p.m. After $$x$$ minutes, he finds that the hour hand and the minute hand form a straight line.

$$x$$ can be written in the form $$a\frac{b}{c}$$ where $$b$$ and $$c$$ are relatively prime.

Find $$a+b+c$$

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