Question

From the given figure, we can say that

• A. $l\parallel m$, $p\parallel q$
• B. $l\parallel m$, $p\nparallel q$
• C. $l\nparallel m$, $p\parallel q$
• D. $l\nparallel m$, $p\nparallel q$

Answer 1

The correct option is D $l\nparallel m$, $p\nparallel q$

Sum of angle between the lines $l,m$
$32+48={80}^{\circ }$
Since, the sum is not ${180}^{\circ }$, hence, $l$ is not parallel to $m$.
Sum of angles between the lines $p,q$
$73+106={179}^{\circ }$
The sum of angles between two lines is less than ${180}^{\circ }$, thus $p$ is not parallel to $q$