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what is the measure of

What Is The Measure Of class=

Sagot :

We can see that angles WXZ and YXZ are supplementary, this means that

[tex]\angle WXZ+\angle YXZ=180[/tex]

now, since angle WXZ=5x and angle YXZ=3x, we have

[tex]5x+3x=180[/tex]

which is equal to

[tex]\begin{gathered} 8x=180 \\ x=\frac{180}{8} \\ x=22.5 \end{gathered}[/tex]

Now, if we substitute this values into angle WXZ, we obtain

[tex]\begin{gathered} \angle WXZ=5(22.5) \\ \angle WXZ=112.5 \end{gathered}[/tex]

that is, angle WXZ is equal to 112.5 degrees

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