Question

find the measure of each interior angle of a regular decagon.​

Answer 1

Answer:

144

Step-by-step explanation:

formula for finding the total sum of all interior angles = (n-2)*180[here n stands for no of sides]

(10-2)*180[sides of a decagon is 10] = 1440

the sum of all angles is 180 so now since the sides  are regular

1440/10 = 144

Answer 2

Answer:

Step-by-step explanation

The measure of each interior angle of a regular decagon is 144°

Given :

A polygon with 10 sides

To find :

The measure of each interior angle

Formula :

The sum of interior angles of a polygon with n sides = ( n - 2 ) × 180°

Solution :

Step 1 of 3 :

Write down the number of sides

Here the given polygon is regular decagon

Decagon is a 10 sided polygon

So the polygon has 10 sides

Step 2 of 3 :

Find sum of interior angles of a polygon

Number of sides = n = 10

The sum of interior angles of the polygon

= ( 10 - 2 ) × 180°

= 8 × 180°

= 1440°

Step 3 of 3 :

Measure each interior angle

Number of sides = n = 10

The sum of interior angles of the polygon = 1440°

The measure of each interior angle

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