Understanding Triangles | Properties and the Triangle Sum Theorem

Definition: a three-sided polygon with a sum of 180 degrees in the angle measures Example: 60 degrees + 60 degrees + 60 degrees = 180 degrees

Definition: A three-sided polygon is called a triangle

Definition: A three-sided polygon is called a triangle. Triangles are one of the basic shapes in geometry and are formed by three line segments that intersect at three points called vertices. The sum of the angle measures of a triangle is always 180 degrees, which is known as the Triangle Sum Theorem.

Example: Let’s consider a triangle with angle measures of 60 degrees, 60 degrees, and 60 degrees. The sum of these three angles is indeed equal to 180 degrees, as you correctly stated:

60 degrees + 60 degrees + 60 degrees = 180 degrees

This confirms that the triangle follows the Triangle Sum Theorem.

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