SOLUTION: Prove that the sum of the measures of the interior angles of a triangle is 180°. Be sure to create and name the appropriate geometric figures
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Question 832275: Prove that the sum of the measures of the interior angles of a triangle is 180°. Be sure to create and name the appropriate geometric figures
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
One way to show this, not necessarily as a formal proof, is create or construct a triangle on cardboard, cut out the triangle figure neatly, tear or cut into three pieces so that each piece contains one vertex. Arrange the vertices on a flat surface so that they meet in one point and neighboring proximate sides of the pieces are all in contact. You will find the side of the figure with the connected vertices at one point will form a straight angle. The straight angle means the angles so arranged are supplementary in the arrangement, so 180 degrees.
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