Golden Ratio in an Irregular Pentagon, Construction I
The following construction has be devised by Bui Quang Tuan:
Let X, Y, Z be collinear, Y between X and Z, such that XY/YZ = φ, the golden ratio. Construct

What if applet does not run? 
Some properties of so constructed pentagon ABCDE are discussed elsewhere. There is an additional construction of pentagons of this kind.
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