Question 383128
First name your angles.
How about {{{A}}} and {{{C}}}.
You know 
1.{{{A+C=90}}}
You also know that,
2.{{{A+(1/2)C=89}}}
Subtract eq. 2 from eq. 1,
{{{A+C-A-(1/2)C=90-89}}}
{{{(1/2)C=1}}}
{{{highlight(C=2)}}} degrees
Then from eq. 1,
{{{A+2=90}}}
{{{highlight(A=88)}}} degrees