Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Parallel Lines and Transversals
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Exercise 8 Page 507

The angles are consecutive interior angles.

x=12

Practice makes perfect

The angles are between the two lines and on the same side of the transversal. Therefore, we can classify them as consecutive interior angles. Since the two lines are parallel, the pair of angles are supplementary according to the Consecutive Interior Angles Theorem. Therefore, the sum of their measures equals 180^(∘): (7x+24)+72=180 Let's solve the equation for x.

7x+24+72=180
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Solve for x
7 x + 96 = 180
7 x = 84
x = 12