What is the sum of the interior angle measures of a regular decagon? ° What is the measure of each interior angle of a regular d

Question

4 years ago

14

ecagon? °

2 answers:

Ymorist [56] · Answer 1 · 2021-12-14T13:35:31+03:00

7 0

Answer:

1. 1440

2. 144

Step-by-step explanation:

EDG 2020

Vlad [161] · Answer 2 · 2021-12-14T11:33:56+03:00

Answer:

Part a) The sum of the interior angle measures of a regular decagon is $1,440\°$

Part b) The measure of each interior angle of a regular decagon is $144\°$

Step-by-step explanation:

Part a)

we know that

The sum of the interior angles of a polygon is equal to

$S=(n-2)180\°$

where

n is the number of sides of a polygon

In this problem

$n=10$ ----> regular decagon

substitute

$S=(10-2)180\°=1,440\°$

Part b) What is the measure of each interior angle of a regular decagon?

If the figure is a regular polygon, then all interior angles are equal

so

Divide the sum of the interior angles by the number of sides

$1,440\°/10=144\°$