Question

Sum of the exterior angles of a regular polygon is 1/6th of the sum of interior angles. Find the number of sides.​

Answer 1

Answer:

Step-by-step explanation:

So the polygon has 360/45 = 8 sides or it is a regular octagon

Answer 2

Given : Sum of the exterior angles of a regular polygon is 1/6th of the sum of interior angles.

To Find :  the number of sides.​

Solution:

Let say number of sides  = n

Sum of interior angle  =  (n - 2) * 180°

Sum of exterior angles = 360°

Sum of the exterior angles of a regular polygon is 1/6th of the sum of interior angles.

=> 360° = (n - 2) * 180° / 6

=> 12 = n - 2

=> n = 14

Hence number of sides  = 14

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