Question

What is the angle between two adjacent sides of a regular polygon having 8 sides?

Answer 1

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

Answer 2

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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