Question

what is the measure of one exterior angle of a regular decagon?

select one:
a. 30°
b. 36°
c. 45°
d. 40°

Explanation:

Identify the number of sides of a regular decagon

$$ n = 10 $$

Apply the exterior angle formula for a regular polygon

$$ \text{Exterior Angle} = \frac{360^\circ}{n} $$

Calculate the measure of one exterior angle

$$ \text{Exterior Angle} = \frac{360^\circ}{10} = 36° $$

Answer:

• a. \(30^\circ\)
• b. \(36^\circ\) (Correct answer)
• c. \(45^\circ\)
• d. \(40^\circ\)