The answer to the following question is given as option $E:360°$. I can't seem to get this answer. I get $(360-x)°$ as the answer. Is there something wrong with this question?
In the below figure if line $O$ intersects parallel lines $M$ and $N$, what is the value of $u+2x-a+y$
A. $0°$ B. $180°$ C. $(x+2y)°$ D. $2y°$ E. $360°$
On
Using formulae on Angles associated with Parallel Lines
(vertically opposite angles) $y=u,b=d, v=x,c=a$
(alternate angles)$u=b, x=c$
and $u+x=180^\circ$
$\implies y=u=b=d$ and $v=x=c=a$
As $a=x,y=u=180^\circ-x$
$u+2x-a+y=180^\circ-x+2x-x+180^\circ-x=360^\circ-x$
You are correct: $v=x=a$, so $u+2x-a+y=u+x+y=360-v=360-x$. However, $u=y$, so $x+2y=u+x+y$, and the question does have a correct answer in the list, namely, (c).