The measure of an exterior
Answer to Problem 39PPS
The measure of each exterior angle is 51.4. and the measure of each interior angle is 128.6.
Explanation of Solution
Given:
The given polygon has 7 sides.
Calculation:
The sum of the measures of exterior angles of a convex polygon, one angle at each vertex is 360.
Also, in a regular 7-gon, there are 7 congruent interior angles.
The exterior angles of a 7-gon are also congruent as angles supplementary to congruent angles are also congruent.
Suppose, the measure of each exterior angle be n.
Therefore,
Suppose, the measure of each interior angle be m.
So,
Therefore,
The measure of each exterior angle is 51.4. and the measure of each interior angle is 128.6.
Chapter 6 Solutions
Geometry, Student Edition
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