Question

No triângulo abaixo, calcule o valor de x.​

Answer 1

$\sf  \frac{7x}{6} + x + \frac{x}{3} = 180 \\ \\ \\\sf 6 \Bigg( \frac{7x}{6} + x + \frac{x}{3} \Bigg) =6 \cdot180 \\ \\ \\ \sf 6 \cdot \frac{7x}{6} + 6x + 6 \cdot \frac{x}{3} = 6 \cdot180 \\ \\ \\ \sf  \cancel{6} \cdot \frac{7x}{ \cancel{6}} + 6x + 6 \cdot \frac{x}{3} = 1080 \\ \\ \\ \sf 7x + 6x + \cancel{6 \div 3} \cdot \frac{x}{ \cancel{3}} = 1080 \\ \\ \\ \sf 7x + 6x + 2x = 1080 \\ \\ \\ \sf 13x + 2x = 1080 \\ \\ \\ \sf 15x = 1080 \\ \\ \\ \sf x = \frac{1080}{15} \\ \\ \\ \sf {\color{red}x = 72}$

Att: Nerd1990