Question

AB parallel to CD and l is a transversal, find the values of x and y.

Answer 1

Answer:

The values of x and y are 75° and 35° respectively

Answer 2

Answer:

x = 75 and y = 35

Step-by-step explanation:

since, AB // CD and l is the transversal

angle lEB = EFD ( corresponding angles are equal)

therefore, angle y = 60 - 25 = 35

also,

EFP forms a triangle

so, by the property of sum of interior angles of a triangle,

angle x + 25° + angle PEF = 180°

If PEF be z then 180 - (60 + 40) = 80 ( linear pair)

now, angle z ( 80 )+ 25° + angle x = 180°

therefore, angle x = 75°