Question

lines a, b, c, and d intersect as shown. what is x? x =

Explanation:

Step1: Use linear - pair property

The angle adjacent to the $124^{\circ}$ angle on line $a$ and the $124^{\circ}$ angle form a linear - pair. A linear - pair of angles sums to $180^{\circ}$. Let the adjacent angle be $A$. Then $A = 180^{\circ}-124^{\circ}=56^{\circ}$.

Step2: Use the property of corresponding angles

Lines $c$ and $d$ are parallel (assumed from the problem - setup of intersecting lines). The angle $A = 56^{\circ}$ and the angle $x$ are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So $x = 56^{\circ}$.

Answer:

$56$