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Two supplementary angles add up to 180 degrees. If one measures 60 less than the other, they must be 60 and 120 degrees, so the measure of the larger angle is 120 degrees. To find that algebraically, where m is the larger angle:

m+(m-60)=180

2m=240

m=120

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Q: Two angles are supplementary and one measures 60 less than the other Find the measure of the larger angle?
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