Question

Identify the correct linear pair angles made by the transversal line with the two parallel lines.

• A. $\angle \text{APE and}\angle \text{EPB}$
• B. $\angle \text{APF and}\angle \text{COF}$
• C. $\angle \text{COF and}\angle \text{APE}$
• D. $\angle \text{FOD and}\angle \text{COD}$

Answer 1

The correct option is A $\angle \text{APE and}\angle \text{EPB}$


In the given figure, the transversal is the line EF which cuts the two parallel lines AB & CD at P and O.

We know that linear pair are two adjacent angles that share a common straight line.

Here, linear pair angles are:
$\angle APE\&\angle EPB\angle APE\&\angle APF\angle APF\&\angle BPF\angle EPB\&\angle BPF\angle COE\&\angle DOE\angle COE\&\angle COF\angle COF\&\angle DOF\angle DOE\&\angle DOF$

Hence, option 'c' is the correct answer.