Solving a Problem Where the Larger Supplementary Angle is 12 Degrees More Than Three Times the Smaller
To determine the measures of two supplementary angles where the larger angle is 12 degrees more than three times the smaller, set up a system of equations for substitution. Let represent the smaller angle and the larger. The supplementary definition gives the first equation: . The problem's stated relationship translates to . Substitute the expression for into the first equation to create . After combining terms to , subtract 12 to get . Dividing by 4 yields . Substitute this value back to find . The angles measure and .
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Solving a Problem Where the Larger Supplementary Angle is 12 Degrees More Than Three Times the Smaller
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