If mLA= 36° and sin A = cos B, then what is the measure of

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asked Dec 13, 2023 152k views

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If mLA= 36° and sin A = cos B, then what is the measure of

Mathematics
high-school

Adrian McCarthy asked

by Adrian McCarthy

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1 Answer

12 votes

Answer:

54°

Explanation:

$\sin A = \cos B \: \: \: (Given) \\ \\ \implies \: \sin 36 \degree = \cos B \\ \\ \implies \: \cos(90 - 36 ) \degree = \cos B \\ \\ \implies \: \cos \: 54\degree = \cos B \\ \\ \implies \:m \angle B = 54\degree$

Ajay Pandya answered Dec 18, 2023

by Ajay Pandya

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