Question

The angle of a triangle are $3x,2x-7$ and $4x-11.$ Then, the value of $x$ is?

Answer 1

Sum of angles of triangle is ${180}^{\circ }$

$3x+(2x-7)+(4x-11)={180}^{\circ }$

$\Rightarrow 3x+2x-7+4x-11={180}^{\circ }$

$\Rightarrow 9x-18={180}^{\circ }$

$\Rightarrow 9x=(180+18{)}^{\circ }$

$\Rightarrow 9x={198}^{\circ }$

$\Rightarrow x={\frac{198}{9}}^{\circ }$

$\therefore x={22}^{\circ }$