Question
What is the measure of the exterior angle, x ? Show your work.
Answers
GPT-4o mini
To determine the measure of an exterior angle \( x \) of a polygon, we need some additional information about the polygon or the interior angles. An exterior angle is formed by one side of the polygon and the extension of an adjacent side. Depending on the context, you may be given either the measures of the interior angles or the number of sides of the polygon.
If you have a specific polygon in mind or values of the interior angles, please provide them so I can assist you more effectively.
Here is a general formula to find the measure of an exterior angle:
1. For a regular polygon with \( n \) sides, the measure of each exterior angle \( x \) can be calculated using the formula:
\[
x = \frac{360^\circ}{n}
\]
2. If you are given the measure of an interior angle \( y \), the exterior angle can be found using:
\[
x = 180^\circ - y
\]
If you have specific angles or properties of the polygon, let me know so I can help you calculate the exterior angle \( x \).
If you have a specific polygon in mind or values of the interior angles, please provide them so I can assist you more effectively.
Here is a general formula to find the measure of an exterior angle:
1. For a regular polygon with \( n \) sides, the measure of each exterior angle \( x \) can be calculated using the formula:
\[
x = \frac{360^\circ}{n}
\]
2. If you are given the measure of an interior angle \( y \), the exterior angle can be found using:
\[
x = 180^\circ - y
\]
If you have specific angles or properties of the polygon, let me know so I can help you calculate the exterior angle \( x \).