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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

1. Parallel Lines and Transversals

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Exercise 8 Page 108

Use the relationship of angles between parallel lines.

Angle Measures: ∠1 = 107^(∘), ∠2 = 73^(∘)
Explanation: See solution.

Practice makes perfect

Let's consider the given diagram.

angles

To find the measure of ∠ 1, we will use the fact that corresponding angles of parallel lines are congruent. Since ∠ 1 and the 107^(∘) angle are corresponding angles and lines a and b are parallel, these angles are congruent.

angles

Congruent angles have the same measure, so the measure of ∠ 1 is 107^(∘). Finally, note that ∠ 1 and ∠ 2 form a straight line.

angles

Therefore, they are supplementary and the sum of their measures is 180^(∘). With this information, we can finally find the measure of ∠ 2. m∠ 2+ 107^(∘)=180^(∘) ⇕ m∠ 2=73^(∘)

Subchapter links

Try It p.104-106

Self-Assessment for Concepts & Skills p.106

Self-Assessment for Problem Solving p.107

Review & Refresh p.108

Concepts, Skills, & Problem Solving p.108-110