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A stop sign is a regular polygon in it's shape. What is the measure of each of the exterior angles in a stop sign?Each exterior angle measures

Question

A stop sign is a regular polygon in its shape. What is the measure of each of the exterior angles in a stop sign?

Each exterior angle measures

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Solution

1. Break Down the Problem

To find the measure of each exterior angle of a stop sign, we first need to identify the properties of a stop sign. A stop sign is an octagon, which has 8 sides.

2. Relevant Concepts

The formula to find the measure of each exterior angle of a regular polygon is given by:

Measure of each exterior angle=360n \text{Measure of each exterior angle} = \frac{360^\circ}{n}

where n n is the number of sides in the polygon.

3. Analysis and Detail

Since a stop sign has 8 sides:

Measure of each exterior angle=3608 \text{Measure of each exterior angle} = \frac{360^\circ}{8}

4. Verify and Summarize

Now, we perform the division:

3608=45 \frac{360^\circ}{8} = 45^\circ

Thus, each exterior angle of a stop sign measures 45 45^\circ .

Final Answer

Each exterior angle measures 45 45^\circ .

This problem has been solved

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