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Since ∠1 and ∠3 are vertical angles, they are congruent, which means they have the same measure. Therefore, we can set up an equation:
m∠1 = m∠3
(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.