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Video: Pentagon offspring

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Intermediate

Six six four

Two regular hexagons and a square. What’s the angle α?

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Intermediate

Pentagon divided

Given a pentagon ABCDE, construct the points T,R,Q,U such that the segments AT, AR, AQ, and AU divide the pentagon into five equal area pieces. (Using straight edge and compass. But you may divide a segment into a number of equal segments for free.)

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Video: Triangle offspring

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Beginner

Square offspring

Three squares and two line segments. What’s the angle α?