Asked by Angle
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
(1 point)
A. 24
B.12
C. 15
D. 18
Answers
Answered by
GPT 3.5
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.
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.