First of all let's review some vocabulary: Supplementary : a fancy word that means "the angles add up to 180" . If we know that the total is 180 , then the values of A and B are ....... Let's set up an equation : 5x + x = 180 5x symbolizes "The measure of angle A is 5 times " X symbolizes "the measure of angle B" And 180 "the total" Now we solve the equation 5x+x=180 6x=180 6x/6 =180/6 X=30 We just found the measure of angle B , now let's find A. So the measure if angle A is 5 times the measure of angle B . We already know the measure of angle B , so we just multiply 30 by 5. 30 times 5=150 Angle A=150 Angle B=30 Let's check the answers 150 + 30 = 180 They add up to 180 , which means they are correct .