I approached it somewhat like SLW210, but without using the Rotate command..
Pretty much nailed it right out of the gate, save for the fact that the intersection snap between the 285 radius circle which I had drawn and the 215 offset line was off very slightly when I really zoomed in close. I drew a circle of radius 285 from the lower left corner and then found the intersection point of that circle with an offset line of 215 from the left end. Afterr creating that line I offset it by 270, but the corner did not fall on that suggested or mandated 155 offset line from the top, I took that to be a mistake in the dimensions supplied by your coworker. It is pretty late in my zipcode, I will probably revisit this on the morrow. I do enjoy a good puzzle though.