Question

what is the sum of angles of a 32 sided polygon?​

Answer 1

Answer:

In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5760 degrees.

Answer 2

Concept:

A polygon is a two-dimensional closed object with straight sides that is classified as flat or plane in geometry. There are no curved edges to it.

Given:

The number of sides of the polygon = 32.

Find:

The total sum of angles of a 32-sided polygon.

Solution:

The formula for calculating the sum of interior angles is:

Sum of interior angles = $(n-2)*180$°

(where n is the number of sides)

∴ $n=32$

Put the value of n in the formula

Sum of interior angles:

$(32-2)*180\\=30*180\\=5400$

Hence the sum of angles of a 32-sided polygon is 5400°.