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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 5 Page 534

35 and x are linear pairs and 35 and y are corresponding angles.

x=145
y=35

Practice makes perfect

Let's start with finding x. We see that x and 35 form a linear pair. Therefore, by the Linear Pair Postulate, we know that these angles are supplementary. This means they add up to 180. 35+ x=180 ⇔ x=145 To find the measure of y, we use the fact that 35 and y are corresponding angles. Since the lines that are cut by the transversal are parallel, by the Corresponding Angles Theorem, we know they are congruent. y=35

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