triangle sum theorem
The sum of the measures of the interior angles of a triangle is 180 degrees
The triangle sum theorem (also known as the angle sum property of a triangle) is a fundamental concept in geometry that states that the sum of the interior angles in any triangle is always equal to 180 degrees.
In other words, if we draw any triangle and measure the angles using a protractor or other measuring instrument, the sum of the degree measures of the angles will always equal 180 degrees.
For example, if we have a triangle with angles measuring 60 degrees, 70 degrees, and 50 degrees, then the sum of these angles would be 180 degrees (60 + 70 + 50 = 180).
This theorem is important in geometry because it allows us to calculate missing angle measures in a triangle. For instance, if we know the measures of two of the angles in a triangle, we can use the triangle sum theorem to find the measure of the third angle.
Additionally, the triangle sum theorem is useful in many areas of mathematics and science, including physics, engineering, and architecture.
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