Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2018-part-02 — 181 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 116

Let $A'$ be the result of reflection of vertex $A$ of triangle $ABC$ through line $BC$ and let $B'$ be the result of reflection of vertex $B$ through line $AC$. Given that $\angle BA'C = \angle BB'C$, can the largest angle of triangle $ABC$ be located:
a) At vertex $A$;
b) At vertex $B$;
c) At vertex $C$?