In the diagram (not to scale) given above, the value of x is
[amp_mcq option1=”51″ option2=”$\frac{360}{7}$” option3=”$62\frac{6}{7}$” option4=”$49\frac{4}{7}$” correct=”option2″]
This question was previously asked in
UPSC CAPF – 2013
Given the options involving 360/7, a likely scenario is that the angles in the diagram, expressed in terms of x, sum up to 360 degrees.
A common configuration is angles around a point summing to 360 degrees. If the angles were, say, $2x, 3x,$ and $2x$, and they formed the complete angle around a point, then their sum would be 360 degrees.
$2x + 3x + 2x = 360$
$7x = 360$
$x = \frac{360}{7}$ degrees.
This value matches option B.