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Consider the Exterior Angle Theorem.
110^(∘)
According to the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Let's write an equation applying this theorem. 30^(∘)+80^(∘)=x^(∘) ⇒ x=110^(∘) We found that x=110. Therefore, the measure of the exterior angle is 110^(∘).