[Since the sum of the angles of a triangle is 180∘]
⇒∠CBD+45∘+35∘=180∘
⇒∠CBD+80∘=180∘
⇒∠CBD=180∘−80∘=100∘ ....(i)
⇒∠EBD+∠CBD=180∘ (Linear pair of angles)
⇒∠EBD+100∘=180∘ ......(From i)
⇒∠EBD=80∘
⇒∠EBD=∠FAB (corresponding angles)
These angles form an equal pair of corresponding angles for lines p and m with n as transversal. Therefore it can be concluded that p is parallel to m.