Question

transversal problems with equations (level 1)
score: 1/5 penalty: none
question
given ( m parallel n ), find the value of x.
answer attempt 1 out of 2
( x = )

Explanation:

Step1: Use the property of alternate exterior angles

Since \(m\parallel n\), the angles \((3x + 7)^{\circ}\) and \((x+19)^{\circ}\) are equal. So, \(3x+7=x + 19\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(3x - x+7=x - x+19\), which simplifies to \(2x+7 = 19\).
Subtract \(7\) from both sides: \(2x+7-7=19 - 7\), so \(2x=12\).
Divide both sides by \(2\): \(x=\frac{12}{2}\).

Answer:

\(6\)