Question

exterior angles of polygons
due mar 26, 2026 by 11:59pm points 100
submitting an external tool
assignment overview 1
score: 7/10 penalty: 1 off
exterior angles of polygons
question
find the measure of a single exterior angle of the
regular polygon shown below. if necessary, round
to the nearest tenth.
answer
attempt 1 out of 2

Explanation:

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

The formula is $\frac{360^{\circ}}{n}$, where $n$ is the number of sides of the polygon.

Step2: Identify the number of sides of the polygon

The polygon shown is a pentagon, so $n = 5$.

Step3: Calculate the measure of the exterior angle

Substitute $n = 5$ into the formula: $\frac{360^{\circ}}{5}=72^{\circ}$

Answer:

$72^{\circ}$