Question

Considerando a figura 0,calcule os valores de x e y e as medidas dos angulos a,b,r e s​

Answer 1

Resposta:

x = 80, y = 70

Explicação passo-a-passo:

$\frac{x}{2}-10 +\frac{7x}{4}+10 = 180\°\\\\\frac{x}{2}+\frac{7x}{4} = 180\\\\mmc(2,4) = 4\\(4:2)*x = 2x\\(4:4)*7x= 7x\\\\\frac{2x + 7x}{4} = 180\\\\2x + 7x = 180*4\\\\9x = 720\\\\x =\frac{720}{9} \\\\x = 80$

Encontramos o "x", agora vamos encontrar o "y":

$y - 10 = \frac{y}{7}+50\°\\\\y = \frac{y}{7}+50 + 10\\\\y = \frac{y}{7}+60\\\\y (*7) = \frac{y}{7}+60 (*7)\\\\7y = y + 420\\\\7y - y = 420\\\\6y = 420\\\\y = \frac{420}{6}\\ \\y = 70$