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Triangle ABC is similar to triangle XYZ by the AA Similarity Postulate. Also, m∠A = 39° and m∠C = 24°. What is m∠Y?

Triangle ABC is similar to triangle XYZ by the AA Similarity Postulate. Also, m∠A = 39° and m∠C = 24°. What is m∠Y?
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Triangle ABC is similar to triangle XYZ by the AA Similarity Postulate.

Also, m∠A = 39° and m∠C = 24°.

What is m∠Y?

User Jacqualine
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8.4k points

1 Answer

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m\angle Y=m\angle B\\\\ m\angle B=180-m\angle A-m\angle C\\ m\angle B=180-39-24\\ m\angle B=117^(\circ) \\ \Downarrow\\ \boxed{m\angle Y=117^(\circ)}
Triangle ABC is similar to triangle XYZ by the AA Similarity Postulate. Also, m∠A-example-1
User Mickael Caruso
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8.4k points
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