Respuesta :

leena

Hi there!

[tex]\large\boxed{\text{ sum = 180(n - 2)}}[/tex]

This is the formula for finding the sum of interior angles for a polygon with a number of sides "n".

We can also prove this from the table:

Triangle ⇒ 3 sides: 180(3 - 2) = 180°

Quadrilateral ⇒ 4 sides: 180(4 - 2) = 360°

Pentagon ⇒ 5 sides: 180(5 - 2) = 540°

...And so forth. We can write this as for any polygon with "n" sides:

180(n - 2) = sum (°)

They addd up to getting the final answer