Question

In the figure given below, $\angle$4=$\angle$6. Then-

• A. Line $AB$ is parallel to line $CD$ as corresponding angles are equal.
• B. Line $AB$ is parallel to line $CD$ as the interior angles on same side of the transversal are equal
• C. Line $AB$ is not parallel to line $CD$
• D. Line $AB$ is parallel to line $CD$ as the alternate interior angles are equal.

Answer 1

The correct option is D Line $AB$ is parallel to line $CD$ as the alternate interior angles are equal.

$\angle$4 and $\angle$6 are alternate intereior angles. And both the angles are given to be equal. According to alternate interior angles test -
$AB\parallel CD$