Question

Two of the exterior angles of an n sided polygon are each of 60 and the remaining exterior angle are of each 24 find the value of n

Answer 1

12 sides

Explanation:

Given that :

Two of the exterior angles are = 60

The rest are each 24 ;

Find n, the number of sides of the polygon

The sum of the exterior angles of a polygon = 360

2 of the angles are 60° each ;

360 - (2 * 60)

360 - 120 = 240°

The remaining sides are 24° each ;

Hence, number of sides that are 24°

240° / 24° = 10 sides

Hence, total number of sides :

10 sides (14° each) + 2 sides (60° each)

10 + 2 = 12 sides