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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 16 Page 532

Recall the Theorem 6.5 which states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

65

Practice makes perfect

We want to find the measure of ∠ ADC in the given parallelogram.

As we can see, the angle measuring 115 and ∠ ADC are consecutive angles. Recall the Theorem 6.5 which says that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary. Therefore, the measures of our consecutive angles add up to 180. 115+ m ∠ ADC =180 Let's solve the above equation to find m ∠ ADC.

115 + m ∠ ADC = 180

LHS-115=RHS-115

m ∠ ADC = 65

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