It is known that the perimeter of the diamond is 16cm, and the area is 8cm ^ 2

Let the diagonals be a and B respectively
2ab=8
a^2+b^2=16
B ^ 2 = 8-4 radical 3
cosA=（16+16-4B^2)/32
=Root 3 / 2
A=30°
B=150°

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