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Intermediate

The queen

A cyclic quadrilateral with extended sides and two tangents forming an angle γ. What is γ in terms of α and β?

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Solution

The angle γ=α+β.

Solution by Okazaki Tomoya.

Poem

The queen
Of the night
She is blooming once a year
The queen of the jungle
Is free like a bird
No ground can catch her
Epiphytic in the air
She climbs on the nearby trees
Her smell is so sweet
The queen of the night
Needs always more light
And loves to grow in canopies

Bella

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