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MathNet 2005 — Part 03 Question 67

Math Olympiad Vault · MathNet 2005 — Part 03

Question 67

In the triangle $ABC$, whose center of the inscribed circle is $I$, the following applies
$$
|CA| + |AI| = |BC|
$$
Find the ratio between the sizes of the angles $\measuredangle BAC$ and $\measuredangle CBA$.