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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Proving Lines Parallel

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Exercise 4 Page 318

What is the relationship between ∠ 6 and ∠ 8?

Parallel Lines: l ∥ m
Theorem(s)/Postulate(s): Converse of the Consecutive Interior Angles Theorem

Practice makes perfect

Let's begin by highlighting ∠ 6 and ∠ 8 in the given diagram.

We have that ∠ 6 and ∠ 8 are consecutive interior angles of lines l and m. Additionally, we are told that the sum of m∠ 6 and m∠ 8 is 180. m∠ 6+m∠ 8=180 This means that ∠ 6 and ∠ 8 are supplementary angles. Therefore, by the Converse of the Consecutive Interior Angles Theorem we get that l ∥ m.

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Exercises p.318-322