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Find the sum of the measures of all the exterior angles of a decagon.

  1. A
    720^\circ
  2. B
    2160^\circ
  3. C
    360^\circ
  4. D
    1800^\circ

Solution & Step-by-step Explanation

For any convex polygon, regardless of the number of sides it has, the sum of the measures of its exterior angles is always constant and equal to 360

.

A decagon is a polygon with 10 sides, but the exterior angle sum rule remains the same.
Therefore, the sum of all exterior angles of a decagon is 360

.

Practice this question

Try it yourself before checking the explanation above.

Find the sum of the measures of all the exterior angles of a decagon.
A
720^\circ
B
2160^\circ
C
360^\circ
D
1800^\circ

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