Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Angles of Triangles
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Exercise 4 Page 587

What can you say about the adjacent angle to the exterior angle? The nonadjacent angles?

Adjacent angle: 148^(∘)
Nonadjacent angles: Sum of 32^(∘).

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An exterior angle and its adjacent angle form a linear pair and are therefore supplementary. Thus, if the exterior angle is 32^(∘), the adjacent angle must be 148^(∘).

180^(∘)-32^(∘) = 148^(∘) Additionally, 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. Therefore, the only thing we can say about the nonadjacent angles is that they add up to 32^(∘)