Questions: Exercises Find the swo of the measures of the exterior angles of each convex polygon. 1. decagan 2. 16-gon 3. 36-gon

Exercises Find the swo of the measures of the exterior angles of each convex polygon. 1. decagan 2. 16-gon 3. 36-gon
Transcript text: Exercises Find the swo of the measures of the exterior angles of each convex polygon. 1. decagan 2. 16-gon 3. 36-gon
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Solution

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To find the sum of the measures of the exterior angles of any convex polygon, you can use the fact that the sum of the exterior angles of any convex polygon is always 360 degrees, regardless of the number of sides.

  1. Decagon (10-gon):
    The sum of the measures of the exterior angles of a decagon is 360 degrees.
    Explanation: A decagon is a polygon with 10 sides. The sum of the exterior angles of any convex polygon is always 360 degrees.

  2. 16-gon:
    The sum of the measures of the exterior angles of a 16-gon is 360 degrees.
    Explanation: A 16-gon is a polygon with 16 sides. The sum of the exterior angles of any convex polygon is always 360 degrees.

  3. 36-gon:
    The sum of the measures of the exterior angles of a 36-gon is 360 degrees.
    Explanation: A 36-gon is a polygon with 36 sides. The sum of the exterior angles of any convex polygon is always 360 degrees.

In summary, for any convex polygon, regardless of the number of sides, the sum of the measures of the exterior angles is always 360 degrees.

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