To find the number of vertices of an unspecified shape, we can start by identifying the number of vertices in a triangle and a pentagon.
- A triangle has 3 vertices.
- A pentagon has 5 vertices.
Now, we sum the vertices of the triangle and the pentagon:
\[ 3 \text{ (vertices in triangle)} + 5 \text{ (vertices in pentagon)} = 8 \]
This means the total number of vertices is 8.
Now, let’s identify a shape that has 8 vertices. A polygon with 8 vertices is called an octagon.
Thus, the answer is that the sum of the numbers of vertices of a triangle and a pentagon is the same as the number of vertices of an octagon.