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If a is parallel to b , then x is ?

If a is parallel to b , then x is ?-example-1
User Chris Cleeland
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1 Answer

29 votes
29 votes

From the given figure

If a // to b, then

The angle of measure (3x - 1) and the angle vertically opposite angle with 95 degrees are corresponding angles

Since corresponding angles are equal and the vertically opposite angles are equal, then


3x-1=95

Add 1 to both sides


\begin{gathered} 3x-1+1=95+1 \\ 3x=96 \end{gathered}

Divide both sides by 3 to find x


\begin{gathered} (3x)/(3)=(96)/(3) \\ x=\mathring{32} \end{gathered}

The value of x is 32

User Anthony Giorgio
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