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vilitatelp014 2022-04-07 Answered
We have a A B C and a A 1 B 1 C 1 . The segments C L and C 1 L 1 are angle bisectors. If A L C A 1 L 1 C 1 , I should show that A B C A 1 B 1 C 1 .

From the similarity, we have A L A 1 L 1 = C L C 1 L 1 = A C A 1 C 1 . The only way I see from here is to show that L B C L 1 B 1 C 1 . Is this necessary for the solution?
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Answers (1)

Kosyging1j7u
Answered 2022-04-08 Author has 16 answers
If A L C A 1 L 1 C 1 then A = A 1 . Also, A C L = A 1 C 1 L 1 . But C = 2 A C L and C 1 = 2 A 1 C 1 L 1 , so C = C 1 , etc.

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