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3. In the diagram below, PO || RS. If mTVO = 5x – 22 and mVWS = 3x+ 10, what is the value of x? T Pt Q R+ -S W

3. In the diagram below, PO || RS. If mTVO = 5x – 22 and mVWS = 3x+ 10, what is the-example-1
User Artomason
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1 Answer

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According to the given diagram, angles TVO and VWS are corresponding angles by definition, which means they are congruent.

Having said that, we can express the following equation.


m\angle TVO=m\angle VWS

Let's replace the given expressions.


5x-22=3x+10

We subtract 3x from both sides.


\begin{gathered} 5x-3x-22=3x-3x+10 \\ 2x-22=10 \end{gathered}

Add 22 on both sides.


\begin{gathered} 2x-22+22=10+22 \\ 2x=32 \end{gathered}

At last, we divide the equation by 2.


\begin{gathered} (2x)/(2)=(32)/(2) \\ x=16 \end{gathered}

Therefore, x is equal to 16.

User Xanld
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