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"Design" and "Measure" menu showing different degrees (possible bug?)


I'm very new to this software.  This could be a bug or it could be a spec I'm not setting properly:

I draw a circle in "Design".  "Snap to Grid" is turned off.  I draw a line extending from the center down to the perimeter.  The box shows 90 degrees.   I draw a second line from the center to the perimeter, this time at 72 degrees, or 18 degrees from my original line.   I choose "select" and then go to the "Measure" menu.  I click the "measure" tool and use Ctrl to select my two line segments and they read 18.01 degrees instead of 18.

I can duplicate this effect over and over again (with varying degrees of differences).

What is going wrong?

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