Question

What is the measure of one exterior angle of a 15-sided regular polygon?

O 12 degrees
O 168 degrees
O24 degrees
O 156 degrees

Answer 1

24 the guy^^^ explain it perfectly so give him Brianlest

Answer 2

24°

Explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.