Question

In the given figure, $\angle 3$=$\angle 5$. Then-

• A. Line $AB$ is parallel to line $CD$
• B. Line $AB$ is not parallel to line $CD$
• C. $\angle 3$ and $\angle 5$ are corresponding angles
• D. $\angle 3$ and $\angle 5$ are alternate interior angles

Answer 1

Answer: (A), (D)

The correct options are
A Line $AB$ is parallel to line $CD$
D $\angle 3$ and $\angle 5$ are alternate interior angles

$\angle 3$ and $\angle 5$ are alternate interior angles. We know that, when the alternate interior angles are equal, the lines are parallel. As $\angle 3$=$\angle 5$, i.e., the alternate interior angles are equal
$\Rightarrow$ line $AB$ is parallel to line $CD$.