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Since angle ∠1 and angle ∠3 are vertical angles, they are congruent. Therefore, m∠1 = m∠3 = 98°.
We can set up an equation and solve for x:
4x + 26 = 98
Subtract 26 from both sides:
4x = 98 - 26
4x = 72
Divide both sides by 4:
x = 72/4
x = 18
Therefore, the value of x is 18.