What is the sum of the measures of the angles of a regular decagon? What is the measure of each angle in the decagon?

1,620°; 162°
2,880°; 288°
1,440°; 144°
none of these

it is free

the sum of the EXTERIOR angles of a polygon is 360º

decagon has 10 sides (and angles)

each exterior angle is ... 360º /10

each interior angle is ... 180º - (360º /10)

For a polygon of n sides, the sum of the interior angles is

180(n-2)

To find the sum of the measures of the angles of a regular decagon, you can use the formula:

Sum of angles = (n - 2) * 180°

where "n" represents the number of sides in the polygon. For a regular decagon with 10 sides, the formula becomes:

Sum of angles = (10 - 2) * 180°
Sum of angles = 8 * 180°
Sum of angles = 1,440°

Therefore, the sum of the measures of the angles of a regular decagon is 1,440°.

To find the measure of each angle in the decagon, divide the sum of the angles by the number of sides:

Measure of each angle = Sum of angles / Number of sides
Measure of each angle = 1,440° / 10
Measure of each angle = 144°

So, the measure of each angle in a regular decagon is 144°.

Therefore, the correct answer is "1,440°; 144°".

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Ma.Sue can u help me plz