Assuming the diamond shape is like two equilateral triangles joined together at their bases. The top and bottom angles are 60o each, while the two side angles (where they join) are 120o each (60o+60o=120o).
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The internal angles of an n-sided shape add to (n-2)*180 degrees. So, for an 8-sided shape, they would add to 6*180 = 1080 degrees.
Interior angles add up to 540 degrees Exterior angles add up to 360 degrees
A triangle has three sides and three angles that total 180 degrees.
A regular 18 sided polygon has 18 exterior angles each measuring 20 degrees
Exterior angles add up to 360 degrees Interior angles add up to 1800 degrees so all together 2160