Two squares of which three vertices form an isosceles triangle. What is the angle α?
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Fair and square
Tag: angle
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The golf ball
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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Égalité
A square with its diagonal and a circle. If red is equal to blue, what’s the angle α?
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The bungee cords
Three squares and two line segments. What’s the angle α?
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The pentagon attack
Two regular pentagons and two diagonals. What’s the angle α?
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Lean on me
Two squares and two diagonals. Prove that the angles α and β are equal.
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Twin balls
A semicircle with two inscribed circles tangent to an altitude. What’s the angle α?
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The French kiss
Two tangent circles and two red tangent line segments. The three tangency points are shown. What is the angle β in terms of the angle α?
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The Gouda cheese
A quarter circle with two inscribed squares. What’s the angle α?
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The glass piece
A square and an overlapping isosceles triangle. What is the angle α?