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

2 answers:

8 0

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 ).

omeli [17]3 years ago

6 0

Answer:

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

Step-by-step 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

$S=(n-2)\times 180$

where n is the number of sides.

For regular decagon, n=10

The sum of all of the interior angles

$S=(10-2)\times 180$

$S=8\times 180=1440^{\circ}$

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

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