What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.

3 answers

To find the measure of each interior angle of a regular polygon, use the formula:

Interior angle = (n-2) * 180 / n

where n is the number of sides of the polygon.

In the given picture, the regular polygon has 7 sides, so plug n=7 into the formula:

Interior angle = (7-2) * 180 / 7
Interior angle = 5 * 180 / 7
Interior angle = 900 / 7
Interior angle ≈ 128.6 degrees

Therefore, the measure of each interior angle of the regular polygon is approximately 128.6 degrees.
what does the * mean again?
In the formula mentioned earlier, the "*" symbol represents the multiplication operation. So, when you see something like (n-2) * 180, it means you need to multiply (n-2) by 180.

For example:
2 * 3 = 6
4 * 5 = 20

I hope this clarifies things. Let me know if you have any other questions.