A semicircle, a square and an isosceles triangle. What’s the angle α?

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geometry puzzles to train your brain

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A semicircle, a square and an isosceles triangle. What’s the angle α?

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Three triangles have the same base. What is the top angle γ of the middle one in terms of the other ones α and β?

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Two triangles share a side. What’s the angle β?

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A regular hexagon and two semicircles connecting vertices. What’s the angle α between the chords?

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A semicircle inscribed in a triangle inscribed in a semicircle. What fraction of the total area is blue?

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A circle with three tangents and two squares. The accentuated vertex is a tangency point. What’s the angle α?

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Two congruent equilateral triangles and two squares. What’s the angle α?

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A quarter circle, a semicircle and a triangle. What’s the angle α?

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Two squares sharing a vertex. What’s the angle α?

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An equilateral triangle with three congruent squares. What’s the angle α?