Answer:
360
1080
Step-by-step explanation:
We can find the sum of the interior angles of any regular polygon by using this formula
(n - 2) * 180
where n = number of sides
For the square: the square has 4 sides
To find the sum of the interior angles we simply substitute 4 for n in the formula
Formula: (n - 2) * 180
Substitute 4 for n
(4 - 2 ) * 180
Subtract 4-2
2 * 180
Multiply
= 360
The sum of the interior angles of the first polygon is 360
For the second one:
We will repeat this exact process the only difference is the value of "n"
The polygon shown has 8 sides
So to find the sum of the interior angles we simply substitute 8 for n in The formula
Formula (n - 2) * 180
Substitute 8 for n
(8 - 2) * 180
Subtract 8 - 2
6 * 180
Multiply
= 1080
The interior angles of a 8 sided figure will add up to 1080
