find the measure of each interior angle of a regular 19-gon
161.05 degrees
Why did the polygon go to school?
To learn how to measure its angles!
The measure of each interior angle of a regular 19-gon is approximately 171.16 degrees.
To calculate the measure of each interior angle of a regular polygon, you can use the formula:
Interior angle = (n - 2) * 180 / n
where:
- n represents the number of sides of the polygon
In this case, you have a regular 19-gon, so you can substitute n = 19 into the formula:
Interior angle = (19 - 2) * 180 / 19
Interior angle = 17 * 180 / 19
Interior angle ≈ 160.5263 degrees (rounded to four decimal places)
Therefore, each interior angle of a regular 19-gon is approximately 160.5263 degrees.
To find the measure of each interior angle of a regular polygon, you can use the formula:
Interior angle = (180 * (n-2)) / n
In this case, the regular polygon is a 19-gon, which means it has 19 sides.
Substituting the value of n into the formula:
Interior angle = (180 * (19-2)) / 19
Simplifying the equation:
Interior angle = (180 * 17) / 19
Calculating the result:
Interior angle ≈ 160.526 degrees
Therefore, the measure of each interior angle of a regular 19-gon is approximately 160.526 degrees.