Question

Identify the angles corresponding to the same transversal line for the given square.

• A. $\angle DAB$ and $\angle CBA$
• B. $\angle DAB$ and $\angle DCB$
• C. $\angle DAB$ and $\angle CDA$
• D. $\angle ABC$ and $\angle DCB$

Answer 1

Answer: (A), (C), (D)

$\angle ABC$ and $\angle DCB$

The given square is as follows:

Here, both pair of opposite sides are parallel to each other hence, all the four sides can be transversal.

For the transversal $AB$, the parallel lines are $AD$ and $BC$, and the associated angles are $\angle DAB$ and $\angle CBA.$

Similarly, for the transversal $AD$, parallel lines are $AB$ and $DC$, and the associated angles are $\angle DAB$ and $\angle CDA.$

Also, for the transversal $CB$, parallel lines are $AB$ and $CD$, and the associated angles are $\angle ABC$ and $\angle DCB.$

However, $\angle DAB$ and $\angle DCB$ are not associated with a single line.
Hence, (b) is the wrong option.