one of two complementary angles is 30 hear than twice that of the other. What is one of the degree measures of the angles?(Pemember that complinentary angles 45 enowes 27 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 30 degrees more than twice the smaller angle. This can be written as the equation:<br />### \(x = 2y + 30\)<br /><br />## Step 2<br />We also know that the sum of complementary angles is 90 degrees. Therefore, we can write another equation:<br />### \(x + y = 90\)<br /><br />## Step 3<br />Now we have a system of two equations, which we can solve to find the values of \(x\) and \(y\).<br /><br />## Step 4<br />Substitute the first equation into the second equation:<br />### \(2y + 30 + y = 90\)<br /><br />## Step 5<br />Combine like terms:<br />### \(3y + 30 = 90\)<br /><br />## Step 6<br />Subtract 30 from both sides:<br />### \(3y = 60\)<br /><br />## Step 7<br />Divide both sides by 3:<br />### \(y = 20\)<br /><br />## Step 8<br />Substitute \(y = 20\) into the first equation:<br />### \(x = 2*20 + 30 = 70\)