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Answer to Question #134410 in Geometry for Sara

Question #134410
M<SXT=(4x+1), m<QXS=(2x-2), and m<QXT=125. Find the value of x and m<QXS
1
Expert's answer
2020-09-22T16:06:36-0400

"m<\\textrm{SXT} = m<\\textrm{QXS} + m<\\textrm{QXT}\\\\\n\n\n\n\\Rightarrow 125 + 2x - 2 = 4x + 1 \\\\\n\n125 - 2 - 1 = 4x - 2x \\\\\n\n2x = 122\\\\\n\nx = 61\\degree\\\\\n\n\n\n\\therefore m<\\textrm{QXS} = 2x - 2 = 2(61) - 2 = 122 - 2 = 120\\degree"


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