Question

In the figure given below, if m$\angle 1=x^o$ and m$\angle 2=5x^o$. Determine the value of $x$.

• A. $50$
• B. $60$
• C. $120$
• D. None of the above

Answer 1

The correct option is B $60$

The given picture is,
$\underset{–}{\text{Given:}}$ $m\angle 1=x^o$ and $m\angle 2=5x^o$

We can observe from the picture that,
Combining $\angle 1$ and $\angle 2$ gives us a full angle (${360}^o$).

$\therefore$ $m\angle 1+m\angle 2={360}^o$
$\Rightarrow$ $x^o+5x^o={360}^o$
$\Rightarrow$ $6x^o={360}^o$
Dividing 6 from both sides,
$\Rightarrow \frac{6x^o}{3}=\frac{{360}^o}{6}$
$\Rightarrow$ $x=60$

So, option(b.) is correct.