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If ∠1 and ∠3 are vertically opposite angles, then they are congruent (have the same measure).
So, ∠1 = ∠3.
Given that m∠1 = (4x + 26)° and m∠3 = 98°, we can set up the equation:
(4x + 26)° = 98°
Now we can solve for x:
4x + 26 = 98
4x = 98 - 26
4x = 72
x = 72/4
x = 18
Therefore, the value of x is 18.