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The equation that will solve for x is given by the vertical angles theorem, which states that vertical angles are congruent. Therefore, we have:
m∠1 = m∠2
(2x - 16)° = 98°
Simplifying the equation:
2x - 16 = 98
Adding 16 to both sides:
2x = 114
Dividing by 2:
x = 57
Therefore, the equation that solves for x is x = 57°