Relationship between the cointerior angles formed when two lines are transversed by transversal

63° 117° 63° 117° 117° 63° 63° 117° A B C D E F P Q
Figure (a)
75° 105° 63° 117° 105° 75° 63° 117° A B C D E F P Q
Figure (b)
63° 117° 52° 128° 117° 63° 52° 128° A B C D E F P Q
Figure (c)
Figure Pair I Pair II Result (relationship
between Co-interior angles)
Lines are (Parallel/ Not Parallel)
∠APQ ∠PQC ∠APQ +
∠PQC
∠BPQ ∠PQD ∠BPQ +
∠PQD
(a) 117° 117° 234° 63° 63° 126° Corresponding angles are Equal Lines are Parallel
(b) 75° 117° 192° 105° 63° 168° Corresponding angles are not Equal Lines are not Parallel
(c) 63° 128° 191° 117° 52° 169° Corresponding angles are not Equal Lines are not Parallel