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Triangulation

A regular dodecagon contains a yellow square. Find the three angles α, β and γ.

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Solution

α=β=105° and γ=90°.

Solution by Peter Gallin.

6 squares, 6 equilateral triangles, yellow square, yellow equilateral triangle, brown isosceles triangle with 15° base angles => Answer: γ=90°, β=60°+45°=105°, α=90°+15°=105°.

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