What is the angle between two adjacent sides of a regular polygon having 8 sides?
Answers
Answered by
21
Each interior angle of n-sided regular polygon = (2n - 4) /n ^90
N=8
(2(8) -4)/8 ^90
(16-4)/8 ^90
12/8^90
3/2^90
3^45
135
N=8
(2(8) -4)/8 ^90
(16-4)/8 ^90
12/8^90
3/2^90
3^45
135
Answered by
12
Angle between two adjacent sides = 135° of a regular polygon having 8 sides
Step-by-step explanation:
Sum of angles of a polygon = (n - 2) * 180°
where n = number of sides
=> Sum of angles of regular polygon having 8 sides = (8 - 2) * 180
= 6 * 180
= 1080°
regular polygon has all angles equal
=> angle between two adjacent sides = Sum of angles of polygon / number of sides
=> angle between two adjacent sides = 1080°/8
=> angle between two adjacent sides = 135°
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