What is the total of the angles in a triangle?

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The total of the angles in a triangle is 180 degrees. This property is foundational in geometry and is applicable to all types of triangles, whether they are scalene, isosceles, or equilateral. The reasoning behind this is that if you were to draw a line parallel to one side of the triangle through the opposite vertex, the angles formed on either side of this line would reveal that the sum of the three interior angles must equal the sum of the angles formed, which is always 180 degrees.

This principle can also be demonstrated through various geometric proofs and is essential for solving many geometric problems. Understanding that the angles in a triangle always add up to 180 degrees helps in calculating unknown angles when some angles are provided.

The other options do not represent the correct total for the angle measures in a triangle. For example, 90 degrees is the total for right angles, while 270 degrees and 360 degrees refer to the total angles in quadrilaterals and full circles, respectively. Thus, the only correct total for a triangle’s interior angles is indeed 180 degrees.

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