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Answer:

360 degrees is  sum of the measures of the exterior angles of any convex polygon.

Step-by-step explanation:

Convex Polygon:

  • A convex polygon is a polygon with all its interior angle less than 180 degrees.
  • Thus, all the vertices of the polygon will be away from the interior of the polygon.
  • If all the angles are not less than 180 degrees then it becomes concave polygon.
  • Example: Triangle is a convex polygon with three sides.

Exterior angle sum Property:

  • If we extend the side of the polygon, then the angle formed by the extended side and polygon side is an exterior angle.
  • The sum of all the exterior angles if a convex polygon is 360 degrees.
  • If this convex polygon is a regular polygon, then the sum is 360 degrees and each exterior angle is equal to [tex]\frac{360}{n}[/tex], where n is the number of sides in regular polygon.

adefioyelaoye

The sum of the measures of the exterior angles of any convex

polygon is 360°.

What is a Convex polygon?

This is the polygon that is the boundary of a convex set and has

all the interior angles to be less than 180°.

The interior angles is 180(n-2) degrees and each exterior angle

is supplementary to its interior angle thereby resulting in the

sum of the exterior angles to be 360°.

Read more about Convex polygon here https://brainly.com/question/520645

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