Question

In triangle $ABC$ above, the value of $y$ is twice the value of $x$, and the value of $z$ is three times the value of $y$. Calculate the value of $x$.

• A. $20$
• B. $24$
• C. $30$
• D. $36$

Answer 1

Answer: (A)

$20$

According to question:
$y°=2x°$ and $z°=3y°$

So $z°=3\left(2x°\right)=6x°$

Now, sum of angles of triangle is $180°$

So $x°+y°+z°=180°$

$\Rightarrow x°+2x°+6x°=180°$

$\Rightarrow 9x°=180°$

So $x°=20°$