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Find the measure of each interior and exterior angle of a regular 30-gon

User VextoR
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To find the measure of each interior and exterior angle of a regular 30-gon, we can use the formula:

  • Interior angle = (n - 2) * 180° / n
  • Exterior angle = 360° / n

In this case, we have a regular 30-gon, so n = 30.

Let's calculate the measures:

  • Interior angle = (30 - 2) * 180° / 30 = 28 * 180° / 30 = 168°
  • Exterior angle = 360° / 30 = 12°

Therefore, each interior angle of the regular 30-gon measures 168°, and each exterior angle measures 12°.

User Maya Shah
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