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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 12 Page 535

Use the Corresponding Angles Converse.

x=23

Practice makes perfect

Both angles are above the lines and to the right of the transversal. Therefore, the angles can be classified as corresponding angles. According to the Corresponding Angles Converse, if the angles are congruent, the lines are parallel. We can therefore write the equation 7x-11=4x+58 Let's solve this equation.

7x-11=4x+58

LHS-4x=RHS-4x

3x-11=58

LHS+11=RHS+11

3x=69

.LHS /3.=.RHS /3.

x=23

When x=23, 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