Angle Relationships
Angle relationships, where we're given a diagram containing 2+ parallel lines and a transversal, can tell us a lot about the angles.
Solving the Question
The two angles indicated in the diagram measure 4x + 19 degrees and 6x + 7 degrees.
These two angles form a "Z" pattern, meaning they are on opposite sides of the transversal and opposite sides of the two parallel lines. They are alternate angles.
Alternate angles are always equal. Therefore, we can set up the following equation and solve for x:
Answer
x = 6