Find the sum of the interior angle measuresof each polygon. Write equation and solveshowing ALL the work.16-gon

Question

asked Oct 6, 2023 3.5k views

1 Answer

Jbbarquero · Answer 1 · 2023-10-10T20:04:08+0000

We can find the sum of the interior angles of a polygon with the following formula:

$(n-2)\cdot180$

where n is the number of sides.

Then, for a 16-gon, we have n=16 and the sum of interior angles is:

$(16-2)\cdot180=14\cdot180=2520\degree$

Answer: the sum of the interior angles of a 16-gon is 2520 degrees.