Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD​

Given:

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

The angles and are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

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step-by-step explanation: