Angle Relationships
The two angles labeled in the given diagram are interior angles on the same side of the transversal. They can also be called interior supplementary angles.
These angles have a sum of 180 degrees.
Solving the Question
The two angles given have measures of 48 degrees and (34x-4) degrees.
They have a sum of 180 degrees.
Form an equation:
[tex]48+(34x-4)=180\\48+34x-4=180\\44+34x=180\\34x=180-44\\34x=136\\x=4[/tex]
Answer
[tex]x=4[/tex]
