Two squares and some line segments. Find the relation between the angles α and β.
Tag: angle
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What’s your angle?
Six squares are placed as shown. What’s the angle α?
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Steam roller
Two intersecting circles. Express the lengths b and the common tangent d in terms of c (the distance between the centres) and the angles β and γ.
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Fair scoop
What is the ratio of areas purple : orange if the cone angle is 45°, and the circular arc is a semicircle?
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Six six four
Two regular hexagons and a square. What’s the angle α?
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Square offspring
Three squares and two line segments. What’s the angle α?
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Wings
Two wings are attached to the corner of a rectangle, and have corners lined up with the diagonal of the rectangle. The angles at the lower wing tips are equal. Must α = β at the left wing tips?
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Unring a bell
A square and an equilateral triangle. What’s the angle α?
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The doubleganger
Two nested right triangles with their incircles. Two tangency points are shown. Prove that the red and yellow line segments are parallel.
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Wedge the wedge
An equilateral triangle containing an isosceles triangle that is not equilateral. What’s the angle α?