Question
Work out the size of an exterior angle of a regular polygon with 24 sides. square lo
Answer
4.6
(246 Votes)
Ophelia
Master · Tutor for 5 years
Answer
360/24 = 15 degrees
Explanation
The question is asking for the size of an exterior angle of a regular polygon with 24 sides. In a regular polygon, all the exterior angles are the same. The sum of the exterior angles of any polygon equal 360 degrees. Indeed, if you walk all the way around any figure (experiencing all the exterior angles) you will turn 360 degrees total. Therefore, the exterior angle of any regular polygon, regardless of how many side it has, can be found by dividing the total exterior angles (which is always 360 degrees) by the number of sides. Thus, an exterior angle of a regular polygon with n sides is 360/n degrees.