Question

select the correct answer.
a regular convex polygon has eight sides. what is the measure of an exterior angle?
a. 36°
b. 45°
c. 60°
d. 135°

Explanation:

Step1: Recall the formula for the measure of an exterior angle of a regular polygon

The sum of the exterior angles of any polygon is \(360^{\circ}\). For a regular polygon with \(n\) sides, the measure of each exterior angle \(E\) is given by \(E=\frac{360^{\circ}}{n}\).

Step2: Substitute \(n = 8\) into the formula

Since \(n = 8\) (the polygon has eight sides), we calculate \(E=\frac{360^{\circ}}{8}\).

$$
LATEXBLOCK0
$$

Answer:

B. \(45^{\circ}\)