Question 634791
Despite what the original solver claimed, there is enough information to solve this problem.

Let x be the measure of the original angle.  Then {{{x/10}}} is the measure of its complement.  We know that complementary angles add up to 90 degrees, so we have:
{{{x + x/10 = 90}}}
{{{(10*x)/10 + x/10 = 90}}}
{{{(10*x + x)/10 = 90}}}
{{{(11*x)/10 = 90}}}
{{{11*x = 900}}}
{{{(11*x)/11 = 900/11}}}
{{{x = 900/11 = 81&9/11}}}
The original angle measures {{{81&9/11}}} degrees and its complement measures {{{8&2/11}}} degrees.