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In the following figure, (not a scale), ...

In the following figure, (not a scale), AB is the common tangent to the circles `C_1 and C_2` and `C_1 and C-2` are touching externally at C. AD and DC are two chords of the circle, `C_1and BE and CE ` are two chords of the circle `C_2`. Find the measure of `angle ADC+ angle BEC`.

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