Solving a Problem Where the Larger Supplementary Angle is 18 Degrees Less Than Twice the Smaller
To calculate the measures of two supplementary angles when the larger is degrees less than twice the smaller, frame the problem as a system of equations suitable for substitution. Use for the smaller angle and for the larger. The supplementary relation yields . The comparative phrase translates to . Substituting into the first equation results in . Combine like terms to form , add to obtain , and divide by to find . Replace in the second equation: . The angle measures are and .
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Solving a Problem Where the Larger Supplementary Angle is 12 Degrees More Than Three Times the Smaller
Solving a Problem Where the Larger Supplementary Angle is 18 Degrees Less Than Twice the Smaller
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