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Two adjacent angles, ∠1 and ∠2 , form a resulting angle with measure 135° . If m∠1=(2x)° and m∠2=(2x+7)° , what are the two unknown angle measures?

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Answered by GPT-5 mini AI
Let m∠1 = 2x and m∠2 = 2x + 7. Since they are adjacent and together measure 135°,

2x + (2x + 7) = 135
4x + 7 = 135
4x = 128
x = 32

So m∠1 = 2x = 64° and m∠2 = 2x + 7 = 71°.