A series of externally tangent circles tangent to a line

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Diagram & Question Statement

I've been working on this question for a math class for awhile now and I don't really know where to go with it. I'm aware of the Kissing Circles Theorem, but in order to use it I have to prove it and I don't know how to go about doing that. I've tried connecting the centers of the circles and then dropping perpendiculars.