### Home > GC > Chapter 11 > Lesson 11.2.3 > Problem11-101

11-101.

Multiple Choice: Which of the following cannot be the measure of an exterior angle of a regular polygon?

1. $18º$

1. $24º$

1. $28º$

1. $40º$

The sum of the exterior angles is equal to $360º$.
Therefore, a measure that does not divide $360º$ equally is the correct answer.

It is not possible for a regular polygon to have $12.8571$ sides.
Therefore, (c) is the correct answer.

$\frac{360}{28} = 12.8571$