Question

lines a and b are parallel and lines e and f are parallel. what is the value of x? 8 82 98 172

Explanation:

Step1: Find the supplementary angle

The angle adjacent to \(82^{\circ}\) is \(180 - 82=98^{\circ}\) (supplementary angles sum to \(180^{\circ}\)).

Step2: Use parallel lines property

Since lines \(a\) and \(b\) are parallel and lines \(e\) and \(f\) are parallel, by the property of parallel lines (corresponding angles), \(x = 8\) (the difference between \(98^{\circ}\) and the angle formed by the intersection of the transversals).

Answer:

8