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Amiraneli [1.4K]
2 years ago
5

Angles A and B are complementary and in ratio of 3:6. What is the measure of each angle

Mathematics
1 answer:
pashok25 [27]2 years ago
7 0

complementary angles add up to 90°, so therefore we know that ∡A + ∡B = 90°, and also they are in a ratio of 3:6.


\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
A+B=90\implies A+\boxed{2A}=90\implies 3A=90\\\\\\ A=\cfrac{90}{3}\implies \blacktriangleright A=30 \blacktriangleleft
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
2(30)=B\implies \blacktriangleright 60=B \blacktriangleleft

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