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The sum of angles in a decagon [10 sided polygon] is 1440°. There cannot be 8 or more reflex angles, since 8 x 180° = 1440°. So see if 7 will work.

You could have 7 angles at 181°, then 3 angles, which add up to 173° {say 58°, 58° & 57°}, and it would be a valid decagon.

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Q: How many possible reflexes angles are there in a decagon?
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