Certainly! Here’s how you complete the table:
### Step-by-Step Solution:
1. Identify the number of sides and the number of interior angles:
- Triangle: 3 sides, 3 interior angles
- Quadrilateral: 4 sides, 4 interior angles
- Pentagon: 5 sides, 5 interior angles
- Hexagon: 6 sides, 6 interior angles
- Heptagon: 7 sides, 7 interior angles
- Octagon: 8 sides, 8 interior angles
- Nonagon: 9 sides, 9 interior angles
- Decagon: 10 sides, 10 interior angles
2. Fill in the table with this information:
[tex]\[
\begin{array}{|l|c|c|c|c|}
\hline \begin{array}{c}
Name\ of \\
Polygon
\end{array} & \begin{array}{c}
Number \\
of\ sides
\end{array} & \begin{array}{c}
Number\ of \\
interior\ angles
\end{array} & \begin{array}{c}
Names\ of \\
the\ sides
\end{array} & \begin{array}{c}
Names\ of \\
the\ interior \\
angles
\end{array} \\
\hline Triangle & 3 & 3 & Side 1, Side 2, Side 3 & Angle 1, Angle 2, Angle 3 \\
\hline Quadrilateral & 4 & 4 & Side 1, Side 2, Side 3, Side 4 & Angle 1, Angle 2, Angle 3, Angle 4 \\
\hline Pentagon & 5 & 5 & Side 1, Side 2, Side 3, Side 4, Side 5 & Angle 1, Angle 2, Angle 3, Angle 4, Angle 5 \\
\hline Hexagon & 6 & 6 & Side 1, Side 2, Side 3, Side 4, Side 5, Side 6 & Angle 1, Angle 2, Angle 3, Angle 4, Angle 5, Angle 6 \\
\hline Heptagon & 7 & 7 & Side 1, Side 2, Side 3, Side 4, Side 5, Side 6, Side 7 & Angle 1, Angle 2, Angle 3, Angle 4, Angle 5, Angle 6, Angle 7 \\
\hline Octagon & 8 & 8 & Side 1, Side 2, Side 3, Side 4, Side 5, Side 6, Side 7, Side 8 & Angle 1, Angle 2, Angle 3, Angle 4, Angle 5, Angle 6, Angle 7, Angle 8 \\
\hline Nonagon & 9 & 9 & Side 1, Side 2, Side 3, Side 4, Side 5, Side 6, Side 7, Side 8, Side 9 & Angle 1, Angle 2, Angle 3, Angle 4, Angle 5, Angle 6, Angle 7, Angle 8, Angle 9 \\
\hline Decagon & 10 & 10 & Side 1, Side 2, Side 3, Side 4, Side 5, Side 6, Side 7, Side 8, Side 9, Side 10 & Angle 1, Angle 2, Angle 3, Angle 4, Angle 5, Angle 6, Angle 7, Angle 8, Angle 9, Angle 10 \\
\hline
\end{array}
\][/tex]
This structure completes the table comprehensively. It lists the name of the polygon, the number of sides, the number of interior angles, and how to name the sides and interior angles for each polygon.
