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Line m is parallel to line n. x - 5x What is the value of x? A. 6 B. 30 o C. 120 D. 150

Line m is parallel to line n. x - 5x What is the value of x? A. 6 B. 30 o C. 120 D-example-1
User Fsperrle
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1 Answer

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The value of x is 30

Here, we want to get the value of x

From the image, we can see that the two marked angles are supplementary (they add up to 180)

The reason for this is that they are both exterior alternate angles

Thus, we have it that;


\begin{gathered} x\text{ + 5x = 180} \\ 6x\text{ = 180} \\ x\text{ = }(180)/(6) \\ \\ x\text{ = 30 } \end{gathered}

User Despotovic
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