How many degrees south of East is the sun viewed from Denver, Colorado in July and January?

Here's a handy calculator:
ESRL Global Monitoring Division - GRAD Group

On July 1, 2012 the sun rose at 05:36 MDT at an azimuth of 58.66 degrees. Azimuth is measured from north, so this is equivalent to 31.34 degrees north of east.

On Jan 1, 2013 the sun will ise at 07:21 MST at an azimuth of 119.74 degrees, or 29.74 degrees south of east.