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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 32 Page 593

What type of angles are ∠ 1 and ∠ 4?

130^(∘)

Practice makes perfect

Note that from previous exercises we know that the measure of ∠ 1 is 50^(∘).

From the diagram, we can also see that ∠ 4 and either of the 50^(∘) angles are a linear pair. By the Linear Pair Postulate we know these angles are supplementary. This means their measures add up to 180^(∘): m∠ 4+50^(∘)=180^(∘). By solving this equation we can find the measure of m∠ 4.

m∠ 4+50^(∘)=180^(∘)

LHS-50^(∘)=RHS-50^(∘)

m∠ 4=130^(∘)

The measure of ∠ 4 is 130^(∘).

Subchapter links

Communicate Your Answer p.587

Monitoring Progress p.588-591

Exercises p.592-594