Respuesta :

The formula for the sum of interior angles is
[tex]180^{o}(n-2)[/tex]

where [tex]n[/tex] is the number of sides.

We have
[tex]n=7[/tex]
so the sum is
[tex]180^{o}(7-2)=180^{o}*5=900^{o}[/tex]

Answer:

The sum of the measures of the interior angles of a heptagon=900°

Step-by-step explanation:

We know that we have formula to find the sum of the interior angles of a polygon.

Sum of the interior angles of a polygon = 180° (n -2), where "n" is the number of sides of the polygon.

Here we need to find the sum of the measures of the interior angles of a heptagon.

Heptagon is a 7 sided polygon.

Therefore, n = 7

Now plug n = 7 in the above formula, we get

= 180° (7 -2)

= 180°6

The sum of the measures of the interior angles of a heptagon= 900°