Answer: [tex]47\°[/tex]
Step-by-step explanation:
You need to analize the information provided in the exercise.
Observe the given figure.
You know that the line AC and and the line BD are parallel and they are cut by a transversal.
By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".
Alternate Interior Angles are congruent, which means that they have equal measure.
Knowing this, you can identify that the angle "p" and the angle "n" are Alternate Interior Angles, therefore:
[tex]m\angle p=m\angle n=47\°[/tex]
