This is a picture of the triangle: http://www.flickr.com/photos/100027141@N03/9930804173/
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sin(C) / 10.6 = sin(67°) / 12.3
sin(C) = 0.793281
C = 52.5°
x = 180° - 67° - 52.5° = 60.5°
sin(C) = 0.793281
C = 52.5°
x = 180° - 67° - 52.5° = 60.5°