Question

In the figure given below, $\angle$3+$\angle$6=${180}^{\circ }$. Then -

• A. Line $AB$ is not parallel to line $CD$
• B. Line $AB$ is parallel to line $CD$
• C. $\angle$3 and $\angle$6 are interior angles on the same side of the transversal
• D. $\angle 3$ and $\angle 6$ are alternate interior angles

Answer 1

Answer: (B), (C)

The correct options are
B Line $AB$ is parallel to line $CD$
C $\angle$3 and $\angle$6 are interior angles on the same side of the transversal

$\angle 3$ and $\angle 6$ are interior angles on the same side of the transversal. We know that, when the interior angles on the same side of the transversal are supplementary, the lines are parallel. As $\angle 3$+$\angle 6$=${180}^{\circ }$,
$\Rightarrow$ line $AB$ is parallel to line $CD$.