## Definition: a three-sided polygon with a sum of 180 degrees in the angle measures Example: a three sided polygon with a sum of 180 degrees in the angle mesures

### The definition you provided already describes a specific type of polygon known as a triangle

The definition you provided already describes a specific type of polygon known as a triangle. A triangle is a three-sided polygon, meaning it is made up of three line segments connected together. The sum of the interior angle measures of a triangle is always 180 degrees.

In a triangle, the angles can vary in size and shape. However, no matter how the angles are oriented in the triangle, their measures will always add up to 180 degrees. This is a fundamental property of triangles.

For example, let’s consider a triangle with the following angle measures:

Angle A: 60 degrees

Angle B: 75 degrees

Angle C: 45 degrees

If we add these angle measures together:

60 + 75 + 45 = 180 degrees

We see that the sum of the angle measures is indeed 180 degrees, consistent with the definition of a triangle.

Triangles are widely used in mathematics and can be classified based on their side lengths and angle measures. For example, a triangle with all three sides of equal length is called an equilateral triangle. Triangles can also be classified based on their angle measures, such as obtuse triangles (one angle greater than 90 degrees), acute triangles (all angles less than 90 degrees), and right triangles (one angle equal to 90 degrees).

Overall, triangles are interesting geometric shapes with various properties and applications in different areas of mathematics and real-world scenarios.

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