The larger of two supplementary angles exceeds seven times the smaller by 4°. Find the measure of the larger angle

Answer 1

Let smaller angle is x, then larger angle is (7x + 4). We have equation x + (7x + 4) = 180; 8x = 176; x = 22° is

smaller angle; larger angle is 7·22° + 4° = 158°

Answer 2

Let the smaller be x and the larger be y

As they are supplementary x + y = 180

and y = 7x + 4 from the question

So x + 7x + 4 = 180

8x = 176

x = 22

y = 158

Mike