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If ∠1 and ∠3 are a vertical pair, they are equal in measure. So, we can set up the equation:
4x + 26 = 98
To solve for x, we need to isolate it. Subtract 26 from both sides:
4x = 98 - 26
4x = 72
Finally, divide both sides by 4 to find x:
x = 72/4 = 18
Therefore, the value of x is 18.