
The proof of the

Explanation of Solution
According to the Polygon Exterior Angles Sum Theorem, the sum of the measures of exterior angles of convex polygon, having one angle at each vertex is 360.
According to the Polygon Interior Angles Sum Theorem, the sum of the measures of interior angles of an n-sided convex polygon is
Every angle in the interior of the polygon forms a linear pair with its exterior angle.
The sum of measures of linear pair is 180.
Therefore,
Sum of the measures of exterior angles = Sum of the measures of linear pairs − Sum of the measures of interior angles.
Thus, the sum of the measures of exterior angles of a convex polygon is 360.
Chapter 6 Solutions
Geometry, Student Edition
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Elementary Statistics (13th Edition)
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University Calculus: Early Transcendentals (4th Edition)
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