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find the value of x that makes lines u and v parallel. 16x - 6

Question

find the value of x that makes lines u and v parallel. 16x - 6

Explanation:

Step1: Use corresponding - angle property

When two lines are parallel, corresponding angles are equal. Here, if lines $u$ and $v$ are parallel, then $16x - 6=90$ (assuming the angle $16x - 6$ and the right - angle are corresponding angles).

Step2: Solve the equation for $x$

Add 6 to both sides of the equation $16x−6 = 90$. We get $16x=90 + 6$, so $16x=96$.

Step3: Isolate $x$

Divide both sides of the equation $16x = 96$ by 16. So $x=\frac{96}{16}=6$.

Answer:

$x = 6$