triangle sum theorem
The sum of the measures of the interior angles of a triangle is 180 degrees
The Triangle Sum Theorem is a fundamental concept in geometry that relates to the sum of the interior angles of a triangle. According to the theorem, the sum of the three interior angles of a triangle always adds up to 180 degrees.
This theorem is important because it allows us to find the measure of one angle of a triangle if we know the measures of the other two angles. Alternatively, if we know the measure of one angle and the sum of the other two angles, we can find the measure of the third angle.
The Triangle Sum Theorem can be proven using different methods, including the use of parallel lines and transversals to form triangles, or using the fact that the sum of the angles in a straight line is 180 degrees. Regardless of the approach used to prove the theorem, the result is always the same: the sum of the interior angles of a triangle is equal to 180 degrees.
Overall, the Triangle Sum Theorem is an essential concept in geometry, as it lays the foundation for understanding other properties of triangles, such as their side lengths and areas.
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