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McGraw Hill Integrated II, 2012 View details

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Exercise 42 Page 534

Same-side interior angles between parallel lines are supplementary.

68

Practice makes perfect

Let's find the measure of ∠ Z in the given isosceles trapezoid.

We see that the angle whose measure is 112^(∘) and ∠ Z are same-side interior angles. Also, because the bases of a trapezoid are parallel, we can say these angles are supplementary. This means that their measure add up to 180. 112+m ∠ Z = 180 ⇔ m ∠ Z = 68