Question 162283
Let A1 be the first angle and A2 be the second angle. Since they are complementary, you can write the following equation:
Equation #1: {{{A1+A2=90}}}
From the given information, you can also write this equation:
Equation #2: {{{A1+(0.25)A2=81.75}}}
Now you have 2 equations and 2 unknowns, so you can solve the problem.
First, solve equation #1 for A1:
{{{A1=90-A2}}}
Next, substitute this expression for A1 into Equation #2:
{{{90-A2+0.25*A2=81.75}}}
Now, you can solve for A2:
{{{-A2+0.25*A2=81.75-90}}}
{{{-0.75*A2=-8.25}}}
{{{highlight(A2=11)}}}
Next, just plug this value for A2 into equation #1 and you will have the value for A1. I will leave this part to you :-)
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Good Luck,
tutor_paul@yahoo.com