A regular polygon with 7 sides is a heptagon.
To find the measure the interior angle (I):
[tex]I=\frac{180n-360}{n}[/tex]
Where n is the number of sides (7):
[tex]\begin{gathered} I=\frac{180\cdot7-360}{7} \\ I=\frac{1260-360}{7}=\frac{900}{7} \\ I=128.57\degree \end{gathered}[/tex]
And the sum of the interior angles is:
[tex]\begin{gathered} Si=n\cdot I \\ Si=7\cdot128.57 \\ Si=900\degree \end{gathered}[/tex]
The sum of the exterior angles (Se) is 360°.
And the sum of one exterior angle (E):
[tex]\begin{gathered} E=\frac{360}{n} \\ E=\frac{360}{7} \\ E=51.43\degree \end{gathered}[/tex]
In summary:
Name: Heptagon
Sum of interior: 900°
1 Interior: 128.57°
Sum of exterior: 360°
1 Exterior: 51.43°
