body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

Continue to next subchapter

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

Subchapter links

1 Angles of Polygons p.532

2 Parallelograms p.532

3 Tests for Parallelograms p.533

4 Rectangles p.533

5 Rhombi and Squares p.534

6 Trapezoids and Kites p.534