Find the measure of one exterior angle of a regular polygon that has 21 sides. Round your answer to one decimal place.
m∠exterior angle
360/21 =17.1 degree
the exterior angles of an n-gon add up to 360 degrees.
To find the measure of one exterior angle of a regular polygon, we can use the formula:
Measure of one exterior angle = 360 degrees / Number of sides
For a regular polygon with 21 sides, we can substitute this value into the formula:
Measure of one exterior angle = 360 degrees / 21
Calculating this, we get:
Measure of one exterior angle = 17.1 degrees
Therefore, the measure of one exterior angle of a regular polygon with 21 sides is 17.1 degrees (rounded to one decimal place).
To find the measure of one exterior angle of a regular polygon, we can use the formula:
Exterior angle = 360 degrees ÷ Number of sides
In this case, for a regular polygon with 21 sides, we can substitute the values into the formula:
Exterior angle = 360 degrees ÷ 21 sides
Now, let's calculate the value:
Exterior angle = 360 degrees ÷ 21
Exterior angle ≈ 17.1 degrees
Therefore, the measure of one exterior angle of a regular polygon with 21 sides is approximately 17.1 degrees.