Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
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Exercise 1 Page 260

Consider the Exterior Angle Theorem.

110^(∘)

Practice makes perfect
Let's analyze the given triangle.

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^(∘).