to show that sum of three angles of triangl is 180 degree using crafting method
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180 can be written in the form 60+60+60=180
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Proof
Draw line a through points A and B. Draw line b through point C and parallel to line a.
triangle
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.
Draw line a through points A and B. Draw line b through point C and parallel to line a.
triangle
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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