Question

parallel lines r1
given ( a parallel c ),
find the value for ( x ), name the angle pair and relationship.
( x=) (please only type in numbers)
because (name the angle pair) are (congruent or supplementary)

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are congruent. Here, \(a\parallel c\), and the angle \(x\) and the \(60^{\circ}\) angle (the angle marked as \(60^{\circ}\) in the figure related to the parallel - line transversal setup) are corresponding angles.

Answer:

\(x = 60\), because corresponding angles are congruent.