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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…

Question

given ( m parallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x = )
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Explanation:

Step1: Identify equal angles (corresponding angles)

Since \( m \parallel n \), the angle \( (7x - 1)^\circ \) and \( 111^\circ \) are corresponding angles, so they are equal.
\[ 7x - 1 = 111 \]

Step2: Solve for \( x \)

Add 1 to both sides:
\[ 7x = 111 + 1 \]
\[ 7x = 112 \]
Divide both sides by 7:
\[ x = \frac{112}{7} \]
\[ x = 16 \]

Answer:

\( x = 16 \)