Question

Identify the pairs of alternate interior angles for the given figure.

• A. $\angle APF$ and $\angle EOD$
• B. $\angle COE$ and $\angle EOD$
• C. $\angle BPF$ and $\angle COE$
• D. $\angle APF$ and $\angle COE$

Answer 1

Answer: (A), (C)

$\angle BPF$ and $\angle COE$

Alternate interior angles are the angles that lie inside of the two parallel lines but on alternate sides of the transversal line.


In the given figure, $\angle APF$ and $\angle EOD$ lie on the inside of the two parallel lines AB and CD.
Also, these angles are on either side of the transversal EF.

$\therefore \angle APF$ and $\angle EOD$ are alternate interior angles.

Similarly, $\angle BPF$ and $\angle COE$ are also alternate interior angles.