Respuesta :
a) octagon
1080= (n-2)180
1080/180=6
6=(n-2)
n=8
(This is the formula for finding the sum of interior angles in polygons. n represents the number of sides in the polygon)
1080= (n-2)180
1080/180=6
6=(n-2)
n=8
(This is the formula for finding the sum of interior angles in polygons. n represents the number of sides in the polygon)
Answer:
Option A is correct.
Step-by-step explanation:
Given: Sum of all the interior angles of a regular polygon = 1080°
To find: number of sides or name of polygon.
We know that Sum of all interior angle of a regular polygon is given by following formula,
Sum of all angles = ( n - 2 ) × 180° , where n = no of sides.
⇒ 1080° = ( n - 2 ) × 180°
n - 2 = 6
n = 6 + 2
n = 8
Name of regular polygon is Regular Octagon.
Therefore, Option A is correct.
