Two intersecting circles with a triangle connecting them. Show that the three red points are collinear.
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Angle chasing galore
Tag: angle
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Yeah, right!
A regular pentagon with three line segments. What’s the angle α?
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Pink parallels
A pink parallelogram with two extended sides. What’s α : β?
The red and green wedges subtend the same angle, there are two right angles, and the blue sides have the same length. What is the ratio of lengths of the green and red segments?
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Movie film II
Five squares in a configuration. What’s the angle α?
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Wrapping presents II
Six squares are placed around a triangle. What is the angle α?
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Tip the scale
Two equilateral triangles and a square. What’s the angle α?
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The cheese dome
A semicircle and two tangent circles (tangency point shown). What is the angle α?
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Hidden circle II
What is the locus of orange points for which the purple lines are parallel? The fixed cevians of the triangle BCD are angle bisectors.
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Your turn
A regular hexagon of which the centre is a vertex of an equilateral triangle. What is the angle α?