How many angles does a regular polygon have if the no of sides of a regular polygon is 24?
Answers
Answered by
4
Answer:
find the measure of each exterior angel of a regular polygon with 24 sides. The sum of the exterior angeles is 360degrees. Each of the exterior angles =360/24=15 degrees.
Answered by
11
☆ANSWER☆
♧HOPE THIS HELPS YOU MATE♧
♡MARKS ME BRAINLIEST♡
The exterior angle is the angle you turn at a corner (vertex)when going around the polygon. After a whole turn (360 degrees you have turned n corners, changing course by 24 degrees at each corner. So, 24×n=360, and n=360÷24. A polygon with 24 vertices must have 24 sides.
OR,
Sum of interior angles is (n-2)*180 So, interior angle is (n-2)*180/n Exterior angle is 180-(n-2)*180/n = 24(n-2)*180 = 156*n, 180n - 156n = 36024n = 360, n = 15
Similar questions