Question

directions: if ( l parallel m ), find the value of each missing variable(s).

Explanation:

Step1: Use the property of alternate - exterior angles

Since \(l\parallel m\), alternate - exterior angles are equal. So, \(9x + 2=119\)

Step2: Solve the equation for \(x\)

Subtract \(2\) from both sides: \(9x=119 - 2\), \(9x = 117\)
Divide both sides by \(9\): \(x=\frac{117}{9}=13\)

Step3: For the second problem, use the property of consecutive - interior angles

Since \(l\parallel m\), consecutive - interior angles are supplementary. So, \(12x-8 + 104=180\)

Step4: Simplify the left - hand side of the equation

\(12x+96 = 180\)
Subtract \(96\) from both sides: \(12x=180 - 96\), \(12x = 84\)
Divide both sides by \(12\): \(x=\frac{84}{12}=7\)

Answer:

For problem 5, \(x = 13\). For problem 6, \(x = 7\)