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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 10 Page 535

Use the Alternate Exterior Angles Converse.

x = 133

Practice makes perfect

Both angles are on the outside of the lines and on opposite sides of the transversal. Therefore, the angles can be classified as alternate exterior angles. According to the Alternate Exterior Angles Converse, if the angles are congruent, the lines are parallel. We can therefore write the equation. x+14=147 Let's solve this equation.

x+14=147

LHS-14=RHS-14

x = 133

When x=133, m ∥ n.

Subchapter links

1 Pairs of Lines and Angles p.534

2 Parallel Lines and Transversals p.534

3 Proofs with Parallel Lines p.535

4 Proofs with Perpendicular Lines p.535

5 Using Parallel and Perpendicular Lines p.536