Question

the lines e and f are parallel. what is the value of x based on the following angles? (-2x + 55)° (-x + 59)°

Explanation:

Step1: Use the property of alternate - interior angles

Since lines \(E\) and \(F\) are parallel, the alternate - interior angles are equal. So, \(-2x + 55=-x + 59\).

Step2: Solve the equation for \(x\)

Add \(2x\) to both sides of the equation: \(55=x + 59\).
Then subtract \(59\) from both sides: \(x=55 - 59\).

Answer:

\(x=-4\)