In the triangle below, suppose that mZW=(x+4)º, mZX=(5x-4)°, and mLY= (4x)".Find the degree measure of each angle in the triangle.

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25-10-2022
Mathematics

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In the triangle below, suppose that mZW=(x+4)º, mZX=(5x-4)°, and mLY= (4x)".Find the degree measure of each angle in the triangle.

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NoriJ585841 NoriJ585841 · Answer 1 · 2022-10-25T12:38:10+02:00

NoriJ585841 NoriJ585841

25-10-2022

[tex]\begin{gathered} W+X+Y=180 \\ x+4+5x-4+4x=180 \\ 10x=180 \\ x=18 \end{gathered}[/tex][tex]\begin{gathered} \text{The angle W is,} \\ W=x+4 \\ W=18+4=22 \\ \text{The angle X is,} \\ X=5x-4 \\ X=5\times18-4=86 \\ \text{The angle Y is,} \\ Y=4x \\ Y=4\times18=72 \end{gathered}[/tex]

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