Question 312126
Complementary angles add up to 90 degrees. 

Let's call the first angle x, 
and the second angle y. 

(eq1) {{{ x + y = 90 }}} 

We need to express the statement as an equation: 
The sum of the measure of the first angle and one-fourth the second angle is 84.75 degrees: 
(eq2) {{{ x + y / 4  = 84.75 }}} 

We can rewrite (eq1) as {{{ x = 90 - y}}} and then substitute into (eq2): 

{{{ x + y / 4  = (90 - y) + y/4 }}} 

{{{90 - 3y/4 = 84.75}}}

Then {{{ 3y / 4 = 5.25 }}}, so {{{ y = 5.25 * 4 / 3 = 7}}} and {{{x=83}}}. 

I hope that helps.