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(1) triangle sum, (2) subtraction

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Q: What- complete blank 1 and blank 2 for the proof of the third angle theorem?

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triangle sum theorem

Theory_of_BPT_theorem

He created a proof.

proof

By definition, a theorem is a proven statement- until a proof is made for a statement, it is not a theorem but rather a conjecture. Whether you need to be able to reproduce the proof of a known theorem is another matter. If you trust the prover, I think you can make use of a theorem without knowing the proof. However, studying the proof can give you valuable insights into what the theorem really means and how it might be used. Also, reading proofs made by other people can help you prove you own theorems and write them up coherently.

Related questions

triangle sum theorem

converse of the isosceles triangle theorem

A+

vertical Angles theorem

Pythagoras' theorem is only theorem regarding right angle triangles but it is true.

Proposition 3 of Book IV in Euclid's Elements (angle bisector theorem)

transitive property of congruence

congruent

Parts of formal proof of theorem?

It can be shown that for any right angle triangle that its hypotenuse when square is equal to the sum of its squared sides.

(1) substitution, (2) subtraction

Sometimes Yes, as in Pythagoras' Theorem. Other times No, for as Godel's Incompleteness Theorem shows, there will be complete bodies of knowledge in which there will be truths that cannot be proven, and falsities which cannot be denied. [I paraphrase his theorem.]