Question 62475
Let the required angle be x. Its complement will be 90-x as the two angles (x and 90-x) add up to get 90.

{{{x+5(90-x)=298}}} Multiply out the part in the bracket
{{{x+450-5x=298}}}
{{{-4x+450=298}}} Subtract 450 from each side of the equation
{{{-4x+450-450=298-450}}}
{{{-4x=-152}}}Divide each side by -4 to find x
{{{-4x/-4=-152/-4}}}
{{{x=38}}}

So the angle is 38 degrees (Its complement will therefore be 52 degrees)