Question

Two complementary angles have difference of 18 degrees. find the measures

Answer 1

Sum of Complementary angles is 90degrees, so you have\[\theta_1+\theta_2= 90\]Also you have been given that\[\theta_1-\theta_2= 18\]Solve these two equation simultaneously (find the value of theta1from the first equation and plug into the second, you'd get theta2 on solving, then use this value of theta2 and the first equation to get theta1.)