lines ( ell ) and ( m ) are cut by transversal ( n ).

enter the value of ( x ).

Question

lines ( ell ) and ( m ) are cut by transversal ( n ).

enter the value of ( x ).

Accepted Answer

# Explanation:
## Step1: Use the property of same - side exterior and interior angles
If lines $l$ and $m$ are parallel, then $81^{\circ}+(9x - 9)^{\circ}=180^{\circ}$ (supplementary angles).
## Step2: Solve the equation for $x$
$$
\begin{align*}
81+(9x - 9)&=180\
9x+72&=180\
9x&=180 - 72\
9x&=108\
x&=\frac{108}{9}\
x& = 12
\end{align*}
$$

# Answer:
$12$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the property of same - side exterior and interior angles

Step2: Solve the equation for \(x\)

Answer: