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17-03-2024
Mathematics

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Prove that the sum of degree measures of the interior angles of a triangle is equal to 180.

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17-03-2024

Answer:

Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees. Thus <)ABC + <)BCA + <)CAB = 180 degrees.

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