Question

What is the sum of the interior angle measures of a regular decagon?

Answer 1

DECA=10, so a decagon has 10 sides.

the sum of all interior angles, in degrees, in a polygon is

180( n - 2 )

where n="number of sides".

for a decagon that'd be 180( 10 - 2 ).

Answer 2

The sum of the interior angle measures of a regular decagon is 1440°

Explanation:

Given a regular decagon.

we have to find the sum of the interior angle measures of a regular decagon.

The sum of all of the interior angles using the formula

`S=(n-2)* 180`

where n is the number of sides.

For regular decagon, n=10

The sum of all of the interior angles

`S=(10-2)* 180`

`S=8* 180=1440^(\circ)`

Hence, the sum of the interior angle measures of a regular decagon is 1440°