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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asked Jul 14, 2016 222k views

4 votes

Triangle ABC is similar to triangle XYZ by the AA Similarity Postulate.

Also, m∠A = 39° and m∠C = 24°.

What is m∠Y?

Mathematics
high-school

Jacqualine asked

by Jacqualine

8.4k points

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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

Mickael Caruso answered Jul 21, 2016

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