If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have?
(1 point)
A. 24
B.12
C. 15
D. 18
The measure of an exterior angle of a regular polygon can be found by using the formula 360/n, where n is the number of sides of the polygon.
Since we are given that the measure of an exterior angle is 24, we can set up the equation:
360/n = 24
To solve for n, we can multiply both sides of the equation by n:
360 = 24n
Dividing both sides of the equation by 24:
n = 15
Therefore, the polygon has 15 sides.
The correct answer is C. 15.
To find the number of sides of a regular polygon, you can use the formula:
n = 360 / x
where n is the number of sides and x is the measure of each exterior angle.
In this case, the measure of the exterior angle is given as 24. Therefore, we can substitute this value into the formula:
n = 360 / 24
Simplifying the expression:
n = 15
Therefore, the polygon has 15 sides.
The answer is C. 15.
To find the number of sides in the regular polygon, we can use the formula for the measure of an exterior angle of a regular polygon, which is 360 degrees divided by the number of sides.
Let's denote the number of sides of the polygon as n.
Then, the measure of each exterior angle of the polygon would be 360/n degrees.
We know that the measure of the exterior angle is given as 24 degrees.
So, we can set up the equation:
360/n = 24
To solve for n, we can multiply both sides of the equation by n:
360 = 24n
Now, we can divide both sides of the equation by 24:
360/24 = n
Simplifying this, we get:
15 = n
Therefore, the polygon has 15 sides.
So, the answer is:
C. 15.