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Find the measure of a single exterior angle of a regular decagon. If
necessary, round to the nearest tenth.
Answer Attempt 2 out of 2
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Answer :

mhanifa

36°

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Recall that the sum of the exterior angles of any polygon is 360 degrees.

Since a regular decagon is a polygon with 10 equal sides and angles, the exterior angles will also be equal.

Therefore, to find the measure of a single exterior angle α, we simply divide the total sum of the exterior angles (360°)  by the number of sides (10).

We can express the calculation as follows:

  • α = 360° / 10
  • α = 36°

So, the measure of a single exterior angle of a regular decagon is 36 degrees.

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