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Algebra word problems

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
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1 Answer

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°