The measure of an exterior
Answer to Problem 40PPS
The measure of each exterior angle is 27.7. and the measure of each interior angle is 152.3.
Explanation of Solution
Given:
The given polygon has 13 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 13-gon, there are 13 congruent interior angles.
The exterior angles of a 13-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 27.7. and the measure of each interior angle is 152.3.
Chapter 6 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Calculus Volume 1
Trigonometry (11th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (6th Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Calculus: Early Transcendentals (2nd 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