Answer:
[tex]1440^{\circ}[/tex]
Step-by-step explanation:
Given : a polygon
To find : Sum of the measures of the interior angles of a polygon with n number of sides
A polygon is a two dimensional formed with straight lines.
For example: triangle, quadrilateral , hexagon etc.
Sum of the measures of the interior angles of a polygon with n number of sides = [tex]\left ( n-2 \right )180^{\circ}[/tex]
Number of sides in a given polygon = 10
So, put n = 10 in [tex]\left ( n-2 \right )180^{\circ}[/tex] .
Therefore, sum of the measures of the interior angles of a polygon = [tex]\left ( 10-2 \right )180^{\circ}=8\times 180^{\circ}=1440^{\circ}[/tex]
