How do you prove that the sum of the interior angles of a triangle equals 180 degrees using parallel lines and transversals?
Answer 1
Ashley Burnett
To prove the sum of the interior angles of a triangle equals 180 degrees using parallel lines and transversals, extend one side of the triangle and draw a line parallel to the opposite side through the third vertex. The alternate interior angles formed are congruent to the triangle’s angles, and the linear pair formed with the exterior angle sums to 180 degrees.
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