Prove that the sum of the interior angles of a convex n-gon is (n-2)-180°. (A convex n-gon is a polygon with n sides for which each interior angle is less than 180°.) Hint: start with (k+1)-gon and divide it up into a k-gon and a triangle. 7. Bonus: Given a square, you can cut the square into smaller squares by cutting along lines parallel to the sides of the original square (these lines do not need to travel the entire side length of the original square). For example, by cutting along the lines below, you will divide a square int smaller squares:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

The first question please 

Prove that the sum of the interior angles of a convex n-gon is (n – 2) - 180°. (A convex n-gon is a polygon
with n sides for which each interior angle is less than 180°.) Hint: start with (k +1)-gon and divide it
up into a k-gon and a triangle.
7. Bonus: Given a square, you can cut the square into smaller squares by cutting along lines parallel to
the sides of the original square (these lines do not need to travel the entire side length of the original
square). For example, by cutting along the lines below, you will divide a square intS smaller squares:
Transcribed Image Text:Prove that the sum of the interior angles of a convex n-gon is (n – 2) - 180°. (A convex n-gon is a polygon with n sides for which each interior angle is less than 180°.) Hint: start with (k +1)-gon and divide it up into a k-gon and a triangle. 7. Bonus: Given a square, you can cut the square into smaller squares by cutting along lines parallel to the sides of the original square (these lines do not need to travel the entire side length of the original square). For example, by cutting along the lines below, you will divide a square intS smaller squares:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,