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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 9 Page 535

Use the Consecutive Interior Angles Converse.

x=107

Practice makes perfect

Both angles are between the lines and on the same side of the transversal. Therefore, the angles can be classified as consecutive interior angles. According to the Consecutive Interior Angles Converse, if the angles are supplementary, the lines are parallel. We can therefore write the equation. x+73=180 Let's solve this equation.

x + 73 = 180

LHS-73=RHS-73

x = 107

When x=107, we have 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