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transversal problems with equations (level 1 question given ( m | n ), …

Question

transversal problems with equations (level 1
question
given ( m | n ), find the value of x.
answer
attempt 1 out of 3
( x = ) submit answer
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Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the alternate interior angles are equal. So, \(2x - 2=4x + 2\)

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(-2 = 2x+2\)
Subtract \(2\) from both sides: \(-4 = 2x\)
Divide both sides by \(2\): \(x=-2\)

Answer:

\(x = - 2\)