Algebra word problems

Question

The larger of the two complementary angles is 12 more than 5 times the measure of the smaller Angel find the measure of both angles

Answer 1

1. let m∠ S = x and the m∠ L = 5x + 12

2. since the two are complementary, we know that their sum equals 90°

3. therefore, (x) + (5x + 12) = 90

4. solve for x: 6x = 78

5. x = 13

6. hence, m∠ S = 13° and m∠ L = 5(13) + 12 = 77°