The measure of each exterior
Answer to Problem 34PPS
The measure of each exterior angle of a regular decagon is 36.
Explanation of Solution
Given:
The given polygon is a decagon.
Calculation:
The sum of the measures of exterior angles of a convex polygon, one angle at each vertex is 360.
Also, in a regular decagon, there are 10 congruent interior angles.
The exterior angles of a decagon 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 decagon is 36.
Chapter 6 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Calculus Volume 2
Elementary Statistics: Picturing the World (6th Edition)
Mathematics All Around (6th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning