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Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 27 Page 593

What is the sum of the measures of the interior angles of a triangle?

m∠ 1=26^(∘)
Explanation: See solution

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According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180^(∘). However, in this case the sum of the interior angles has been equated with 360^(∘) instead of 180^(∘). The correct equation is as follows. 115^(∘)+39^(∘)+m∠ 1=180^(∘) By solving this equation, we can find m∠ 1.

115^(∘)+39^(∘)+m∠ 1=180^(∘)

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154^(∘)+m∠ 1=180^(∘)

SubEqn

LHS-154^(∘)=RHS-154^(∘)

m∠ 1=26^(∘)

The measure of ∠ 1 is 26^(∘).