What is the measure of each exterior angle of a stop sign? (A stop sign is a regular octagon.)

A stop sign is a regular octagon, which means it has 8 sides, and the exterior angles of any regular polygon can be calculated using the formula:

\[
\text{Exterior angle} = \frac{360^\circ}{n}
\]

Where:
- \( n \) is the number of sides.

For a stop sign (octagon), \( n = 8 \):

\[
\text{Exterior angle} = \frac{360^\circ}{8} = 45^\circ
\]

Thus, the measure of each exterior angle of a stop sign is \( 45^\circ \).

Do you want more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you calculate the sum of the exterior angles of any polygon?
2. What is the measure of each interior angle of a regular octagon?
3. Can the sum of exterior angles ever change for different polygons?
4. How do exterior and interior angles relate to each other in regular polygons?
5. How would the exterior angles change if the number of sides increased to 12 (dodecagon)?

**Tip:** The sum of the exterior angles of any polygon, regular or irregular, is always \( 360^\circ \), regardless of the number of sides.

Learn how to calculate the measure of each exterior angle of a stop sign, which is a regular octagon. Using the formula for exterior angles of polygons, this geometry problem helps students understand angles and polygons. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation