Question

given $m\parallel n$, find the value of x.
(9x+4)$^\circ$
(2x-11)$^\circ$
answer attempt 1 out of 2
$x = $
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Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \) and \( t \) is a transversal, the angles \( (9x + 4)^\circ \) and \( (2x - 11)^\circ \) are same - side exterior angles, so they are supplementary. That means \( (9x + 4)+(2x - 11)=180 \).

Step2: Simplify the equation

Combine like terms: \( 9x+2x + 4-11 = 180 \), which simplifies to \( 11x-7 = 180 \).

Step3: Solve for x

Add 7 to both sides: \( 11x=180 + 7=187 \). Then divide both sides by 11: \( x=\frac{187}{11}=17 \).

Answer:

\( x = 17 \)