Exterior Angle (noun)
Definition: An exterior angle is the angle formed outside a polygon when one side of the polygon is extended. It is equal to the supplement of the interior angle (the angle inside the polygon) at that vertex. In simpler terms, if you have a shape (like a triangle or a square), the exterior angle is what you get when you look at the angle that is outside the shape when you extend one of its sides.
Usage Instructions: You can use "exterior angle" when talking about geometry, especially when discussing shapes like triangles, quadrilaterals, or more complex polygons. It’s a term often used in math classes, especially in geometry.
Example: - In a triangle, if one of the interior angles is 60 degrees, the exterior angle at that vertex is 120 degrees because 180 - 60 = 120.
Advanced Usage: In geometry, it's important to note that the sum of the exterior angles of any polygon is always 360 degrees, no matter how many sides the polygon has.
Word Variants: - There are no direct variants of the term "exterior angle," but you might come across related terms like "interior angle" (the angle inside the polygon) and "polygon" (a flat shape with straight sides).
Different Meaning: - The term "exterior" can also refer to something that is outside or external to something else, such as the exterior of a building (the outside part of a building).
Synonyms: There are no direct synonyms for "exterior angle" in mathematical context, but you can think of related concepts like "outside angle" or "external angle."
Idioms and Phrasal Verbs: - There are no specific idioms or phrasal verbs related to "exterior angle" since it is a technical term used mainly in mathematics.
Conclusion: Understanding exterior angles is crucial for solving problems related to polygons in geometry.