Question 61971
Let the angle be represented by x. The complement of this angle will be 90-x. When those two angles are added together the total will be 90.


{{{x + 5*(90-x) = 298 }}} Multiply 5 times the terms 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 of the equation by -4
{{{(-4x) / -4 = (-152)/-4}}}
{{{x = 38}}}


So the angle will be 38 degrees. Its complement would be 52 degrees. Check 38 + 5 *52 = 298