Start by writing all of the congruence statements for the angles.
m∠ Z=35^(∘)
Practice makes perfect
We are given that W X Y Z≅ P Q R S. Using this congruence relationship, we will find the measure of ∠ Z. First, we can identify each pair of congruent angles.
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∠ W≅ ∠ P & ∠ X≅ ∠ Q
∠ Y ≅ ∠ R & ∠ Z≅ ∠ S
Since ∠ Z≅ ∠ S, we know that m∠ Z = m∠ S. Let's look at the relevant information on the given diagram.
Finally, we can determine the measure of ∠ Z using the known measurements.
m∠ S = 35^(∘) ⇒
m∠ Z= 35^(∘)
