5. The degree measure of one of two complementary angles is 30 less than twice that of the other. What is one of the degree measures of the angles? (Remember that complimentary angles add to be 90 degrees) 40 degrees. 45 degrees 27 degrees 30 degrees

## Step 1<br />Let's denote the larger angle as \(x\) and the smaller angle as \(y\). According to the problem, the larger angle is twice the smaller angle minus 30 degrees. This can be written as:<br />### \(x = 2y - 30\)<br /><br />## Step 2<br />We also know that the sum of the two angles is 90 degrees, which is the definition of complementary angles. This can be written as:<br />### \(x + y = 90\)<br /><br />## Step 3<br />We can substitute the expression for \(x\) from Step 1 into the equation from Step 2, which gives us:<br />### \(2y - 30 + y = 90\)<br /><br />## Step 4<br />Solving this equation for \(y\) gives us the measure of the smaller angle.<br /><br />## Step 5<br />Substituting the value of \(y\) into the equation from Step 1 gives us the measure of the larger angle.