Question

Which expressions can be used to find each angle measure of a regular polygon with 28 sides? Select all that apply.

[(28+2) x 180] ÷28
[(28-2) x 180] ÷ 28
[(28-2) x 180] ÷ 26
(26 x 180) ÷ 28
(26 x 180) ÷ 26

Answer 1

[(28-2) x 180] ÷ 28

and

(26 x 180) ÷ 28

Explanation:

The formula:

(n-2)180° will give you the total of all the angles in a regular polygon. The variable n you fill in the number of sides (or angles, same number).

Then you would have to divide by the number of angles to find out the measure of each one.

So if the shape is 28-sided.

(n - 2)180

would be,

(28 - 2)180 and then divide by 28.

[(28 - 2)180]÷28

if you start to simplify you get:

[(26)180]÷28

These are the two correct answers.

Answer 2

Explanation:

The correct expression to find each angle measure of a regular polygon with 28 sides is:

[(28-2) x 180] ÷ 28

This formula represents the interior angle of a regular polygon, which can be calculated by subtracting 2 from the number of sides (in this case, 28), multiplying the result by 180 degrees, and dividing by the number of sides. So:

[(28-2) x 180] ÷ 28 = (26 x 180) ÷ 28

Therefore, only option (2) is correct.