We know that vertical angles are congruent, meaning they have the same measure.
Since ∠1 and ∠3 are a vertical pair, we can set up the equation:
4x + 26 = 98
Subtract 26 from both sides to isolate the term with x:
4x = 72
Divide both sides by 4 to solve for x:
x = 18
Therefore, the value of x is 18.