Question

From the adjoining figure, if $\angle$2 = 55${}^{\circ }$ and $\angle$5 = 60${}^{\circ }$ then the lines m and n are

​

• A. Parallel
• B. Not parallel
• C. Intersect at two points
• D. Concurrent

Answer 1

The correct option is B

Not parallel

$\angle 3+\angle 2={180}^{\circ }$ [$\because$ Linear pair]
$\angle 3={180}^{\circ }-{55}^{\circ }$
$={125}^{\circ }$
$\because \angle 5\ne \angle 3$, m and n are not parallel lines.