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In ABC, m ZA = x, mZB = 2x + 2, and mZC = 3x + 4. What is the value of x?

In ABC, m ZA = x, mZB = 2x + 2, and mZC = 3x + 4. What is the value of x?
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In ABC, m ZA = x, mZB = 2x + 2, and mZC = 3x + 4. What is the value of x?

User Jordanm
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1 Answer

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the sum of the angles of a triangle is 180°, therefore


\begin{gathered} x+2x+2+3x+4=180 \\ 6x+6=180 \\ 6x+6-6=180-6 \\ 6x=174 \\ (6x)/(6)=(174)/(6) \\ x=29 \end{gathered}

User Akkonrad
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