the number of sides of a regular polygon is given.
Find the measure of each interior angle and each exterior angle n=4
180(4-2)/4 = ____
n=4 is a square ...
To find the measure of each interior angle and each exterior angle of a regular polygon with n sides, where n = 4, you can use the following formulas:
1. Measure of each interior angle:
The formula to find the measure of each interior angle of a regular polygon is:
Interior angle = ((n - 2) x 180°) / n
Substituting n = 4 into the formula:
Interior angle = ((4 - 2) x 180°) / 4
Interior angle = (2 x 180°) / 4
Interior angle = 360° / 4
Interior angle = 90°
Therefore, the measure of each interior angle of the regular polygon is 90°.
2. Measure of each exterior angle:
The formula to find the measure of each exterior angle of a regular polygon is:
Exterior angle = 360° / n
Substituting n = 4 into the formula:
Exterior angle = 360° / 4
Exterior angle = 90°
Therefore, the measure of each exterior angle of the regular polygon is 90°.
To find the measure of each interior and exterior angle of a regular polygon with a given number of sides, you can use the following formulas:
1. Measure of each interior angle = (n - 2) * 180 / n
2. Measure of each exterior angle = 360 / n
Here, "n" represents the number of sides of the regular polygon.
In your case, n = 4 since you have a square (a specific type of regular polygon).
1. Measure of each interior angle = (4 - 2) * 180 / 4
= 2 * 180 / 4
= 360 / 4
= 90 degrees
2. Measure of each exterior angle = 360 / 4
= 90 degrees
Therefore, each interior angle of a regular polygon with 4 sides (a square) is 90 degrees, and each exterior angle is also 90 degrees.