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Amily13
@Amily13
December 2019
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Dois ângulos que são suplementares e a razão entre o suplemento de um e o complemento do outro, nessa ordem, é 1/2 . As medidas desses ângulos são?
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lazinhojose
X+y=180...................(1)
(180-x):(90-y)=1/2
2(180-x)=90-y
360-2x=90-y
2x-y=360-90
2x-y=270........(2)
Somando....(1)+(2), temos:
x+y=180
2x-y=270
x+2x=180+270
3x=450
x=450/3
x=150º
x+y=180
150+y=180
y=180-150
y=30º
Resposta: 30º e 150º
2 votes
Thanks 4
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(180-x):(90-y)=1/2
2(180-x)=90-y
360-2x=90-y
2x-y=360-90
2x-y=270........(2)
Somando....(1)+(2), temos:
x+y=180
2x-y=270
x+2x=180+270
3x=450
x=450/3
x=150º
x+y=180
150+y=180
y=180-150
y=30º
Resposta: 30º e 150º