Question

In Fig, if $\frac{y}{x}=5$ and $\frac{z}{x}=4$, then the value of x is

• A. $8^0$
• B. ${18}^0$
• C. ${12}^0$
• D. ${15}^0$

Answer 1

The correct option is B ${18}^0$

Being every variable in terms of 'x'

$\frac{y}{x}=5$

$y=5x$

$\frac{z}{x}=4$

$z=4x$

Now according to the figure $x+y+x$=${180}^{\circ }$

$\Rightarrow x+5x+4x={180}^{\circ }$

$\Rightarrow 10x={180}^{\circ }$

$\Rightarrow x=\frac{{180}^{\circ }}{10}$

$\Rightarrow x={18}^{\circ }$

$\therefore$ so the answer is B. ${18}^{\circ }$