body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. Angles of Triangles

Continue to next subchapter

Exercise 1 Page 115

Use the relationship of angles between parallel lines.

Angle Measure: 82^(∘)
Explanation: See solution.

Practice makes perfect

Let's consider the given diagram.

angles

To find the measure of ∠ 2, we will use the fact that alternate exterior angles are congruent when a transversal intersects parallel lines. Since 82^(∘) and ∠ 2 are alternate exterior angles and lines j and k are parallel, these angles are congruent.

angles

Congruent angles have the same measure, so the measure of ∠ 2 is 82^(∘).

Subchapter links

Try It p.112-113

Self-Assessment for Concepts & Skills p.113

Self-Assessment for Problem Solving p.114

Review & Refresh p.115

Concepts, Skills, & Problem Solving p.115-116