A triangle is formed by a circle radius and an external point. It is divided by the shown chord. What’s the proportion of the angles α and β?
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The sundial statement
Tag: angle
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The green kimono
An equilateral triangle and three squares. What’s the angle?
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The Pacman principle
In a circle, two congruent chords are connected in a point. A line segment is drawn through the circle center as shown, forming two angles. What is the proportion α : β?
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The askew envelope
In a square, an interior point is drawn with an angle to the top vertices of 120°. What’s the angle between the chords formed by the two arcs centered in these vertices?
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The diagonal dilemma
On two faces of a cube a diagonal is drawn that meet in the same vertex. What’s the angle between them?
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The blockhat
Four congruent rectangles are placed in a hat-shaped configuration. What’s the angle between the lines connecting the opposite corners?
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The snowman mansion
A square and a half square are stacked in order to form a house-shaped quadrilateral. Inside two circles are closely packed. What’s the angle between the tangency points?
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Balancing balls
Two touching circles are placed on top of a right triangle. What’s the angle between the chords connecting the tangency points?