McGraw Hill Integrated I, 2012
MH
McGraw Hill Integrated I, 2012 View details
Mid-Chapter Quiz
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Exercise 1 Page 822

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

75

Practice makes perfect

Let's find the measure of ∠ WZY.

Notice that the angles measuring 105^(∘) and m∠ WZY are consecutive angles. Recall the following theorem.

If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

Therefore, the measures of our consecutive angles add up to 180^(∘). 105+ m∠ WZY=180^(∘) Let's solve it!
105 + m∠ WZY=180
m∠ WZY=75