find the sum of interior angles of a regular polygon with 24 sides plz with solution
Answers
Answered by
0
Answer:
360 degree I hope. so
Step-by-step explanation:
mark me as brainlist
Answered by
1
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon is
(n−2)⋅180 , where n is the number of sides.
For a 24 -gon, n=24 .
(24−2)⋅180=3960
Another method is to use exterior angles. An n-gon has n exterior angles.
An exterior angles measures 360/n
.
An interior angle equals 180 minus the exterior angle.
A 24 -gon has 24 exterior angles.
Each exterior angle measures
360÷24=15
.
The interior angle measures 180−15=165
.
The sum of the 24 interior angles is then
24*165=3960
.
Similar questions