The measure of each exterior
Answer to Problem 35PPS
The measure of each exterior angle of a regular pentagon is 72.
Explanation of Solution
Given:
The given polygon is a pentagon.
Calculation:
The sum of the measures of exterior angles of a convex polygon, one angle at each vertex is 360.
Also, in a regular pentagon, there are 5 congruent interior angles.
The exterior angles of a pentagon are also congruent as angles supplementary to congruent angles are also congruent.
Suppose, the measure of each exterior angle be n.
Therefore,
The measure of each exterior angle of a regular pentagon is 72.
Chapter 6 Solutions
Geometry, Student Edition
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