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You can draw lines from the center of the hexagon to the peak. And you can find that this hexagon is divided to 6 parts. Every 60° can the hexagon map onto itself. So at 60,120,180,240,300 and 360 total 6 times.
Answer:
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There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.