trying to figure out if this is true, and why?
asked Dec 9, 2012 in Geometry Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

It is not true.

The sum of the degrees in a triangle (on a flat surface) is 180.

The number of edges in a triangle is 3, twice that number would be 6.

6 does not equal 180.
answered Aug 31, 2014 by johnperkins Top Rated User (103,080 points)
The degree of a vertices is how many edges are coming out of it. So, for a triangle, the sum of the degrees of a triangle is 180, but the sum of the degrees of the vertices of a triangle is (2+2+2) 6. Being that there are 3 edges, the sum of the degrees of the vertices (6) is exactly double the number of edges.
Looked it up...graph theory.  Was thinking geometry due to the category the question was posted in.  I stand corrected.

The sum degrees of all the vertices would be twice the number of edges because each edge has to have a start and an end.  Introducing 1 edge introduces 2 endpoints, which makes 2 degrees.
Every edge is connected to exactly two vertices.
answered Apr 20, 2017 by shannonneol97 (140 points)

Related questions

2 answers
1 answer
asked Apr 2, 2013 in Geometry Answers by anonymous | 366 views
2 answers
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,851 questions
86,190 answers
69,792 users