To tackle this question we must understand angle properties, transversal lines, and other trigonometry terminology.
Explanation:
Parallel lines: A pair of lines in a plane that will never intersect(cross/meet) no matter the length of their extension.
Transversal: A line that intersects 2 or more other lines in a plane at different points. It will cut across parallel lines, creating several angles.
Corresponding angles: Angles formed when a transversal intersects parallel lines. The angles are in the same position at the intersection of each line and on the same side of the transversal. The angles are congruent, meaning they are the same.
Knowing this we can now solve for x with the information:
The 2 angles are corresponding which means they both measure
. Using inverse operations, we can isolate for the variable 'x'.
Answer: Therefore, the value of x = 3, option A.