Question

What is the sum of degrees of each vertex for a tree with 5 vertices?

Answer 1

Answer:

8

Step-by-step explanation:

we know that

Euler's Sum of Degrees Theorem states that: The sum of the degrees of all the vertices equals twice the number of edges.

The number of edges in any tree with N vertices will be N - 1

so

The sum of degrees is given by

$2(N-1)$

we have

$N=5$

substitute

$2(5-1)=8$