ashley469 ashley469
  • 17-05-2022
  • Mathematics
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How many sides does a regular n-gon have if the measure of one interior angle is 165?

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LammettHash
LammettHash LammettHash
  • 17-05-2022

The supplement of each interior angle has measure

180° - 165° = 15°

and so

n = 360°/15° = 24

since the exterior angles add up to 360° and are all congruent.

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