Two tangent circles and two red tangent line segments. The three tangency points are shown. What is the angle β in terms of the angle α?
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Solution
The angle β=180-α/2.

Poem
The french kiss
The well known kiss
Stucking lips to lips
A kiss made of romance
A nice dream in Paris,
The capital of France
You can first start with a handkiss
And then you kiss passionately
Or blow a goodbye kiss
And share joy and love again
