Question

find the value of x and y

Answer 1

Since SR || PQ

Co - interior angles are suplementry

=> x + 65° = 180

=> x = 180 - 65

=> x = 115°

Similarly,

x + y = 180° [ Co - interior angles]

=> 115 + y = 180

=> y = 180 - 115

=> y = 65°

Answer 2

PQ is a transversal
Therefore , x° + 65° =180°
x° = 115°
Similarly , QR is another transversal
Therefore , x° + y° = 180°
115° + y° = 180°
y° = 65°
Therefore , x° = 115° and y° = 65°