A circle inside a quarter circle. The triangle connects the two tangency points and the top of the quarter circle. What’s the angle α?

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geometry puzzles for fun and beauty

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Four congruent squares plus another one. What is the angle α?

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A regular pentagon with a diagonal. What is the top angle of the isosceles triangle?

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Three touching circles in a rectangle and a common tangent. What’s the angle?

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A regular pentagon with a diagonal and an extended side. What is the top angle of the isosceles triangle?

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A semicircle and two quarter circles pass through the same point. What’s the angle α?

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An isosceles triangle with two inscribed congruent semicircles. What is the angle α?

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Two triangles inside a quarter circle. What is their area proportion?

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A square is divided into four triangles. The red area equals the blue area. What is the angle α?

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A circle and a right triangle. What’s the angle α?