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QUESTION IMAGE

given m||n, find the value of x

Question

given m||n, find the value of x

Explanation:

Answer:

Since \( m \parallel n \), the alternate interior angles are equal. So we set up the equation:
\( 8x + 11 = 6x + 27 \)
Subtract \( 6x \) from both sides: \( 2x + 11 = 27 \)
Subtract 11 from both sides: \( 2x = 16 \)
Divide by 2: \( x = 8 \)