complementary angles \( A \) and \( B \), where \( m \angle A=(y-16)^{\circ} \) and \( m \angle B=(y+4)^{\circ} \)

Did you know that complementary angles are two angles that together add up to 90 degrees? This means that if you want to find the missing angle, you can simply subtract the known angle from 90. For angles \( A \) and \( B \), we can set up the equation \( (y - 16) + (y + 4) = 90 \) to solve for \( y \) and find the measures of both angles. When solving for \( y \), one common mistake is forgetting to simplify the equation properly. After setting up \( 2y - 12 = 90 \), ensure to add 12 to both sides before dividing by 2. This will help you accurately find the value of \( y \) and, consequently, the measures of angles \( A \) and \( B \). Happy calculating!