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If three adjacent angles add up to 360 degrees, what do the other three angles add up to?

The shape given in the problem does tessellate. Call the unmarked angles D, E and F and label the angles of the polygons accordingly in the tessellation. What do you notice?

Draw some different hexagons that satisfy the criteria and see what happens. It may be best to work on square and/or isometric dotty paper so that the angles can be worked out accurately and the tessellations drawn easily.