Let D be an interior point of the side BC of a triangle ABC. Let I1 and I2 be the incentres of triangles ABD and ACD respectively.

Hi, I have a question and I hope anyone could answer it:

Let D be an interior point of the side BC of a triangle ABC. Let I1 and I2 be the incentres of triangles ABD and ACD respectively. Let AI1 and AI2 meet BC in E and F respectively. If ∠BI1 E = 60°, what is the measure of ∠CI2F in degrees?

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