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question 11 given m ||n, find the value of x. watch vide

Question

question 11
given m ||n, find the value of x.
watch vide

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the alternate interior angles are equal. So, \(4x - 3=3x + 22\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(4x-3x - 3=3x-3x + 22\), which simplifies to \(x-3 = 22\).
Then add \(3\) to both sides: \(x-3 + 3=22+ 3\).

Answer:

\(x = 25\)