A circle and a triangle with two sides tangent to the circle and a side connecting the tangency points. The line segment of the circle centre to the triangle apex is shown. Prove that α = β.
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Solution

Poem
The golf ball
Can be thrown in the air
And fly, fly out of sight
The ball is like a bird
His face often smiles
Even in a hole
His life is not funny at all
Cause he is getting hit with
Swings and turns
It’s the same in life
The game goes on
Let’s do it
And share the joy of play
