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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 13 Page 504

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

75

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

LHS-105=RHS-105

m∠ WZY=75