Question

in the given figure ,if angle x =angle y and angle a= angle b,prove that l||n

Answer 1

given x=yAnd a=b
consider l and m lines as a and b angles are equal they are corresponding angles made by the lines l and m so we can say that l||m
Now consider m and n lines as x and y are equal they are the corresponding angles made by m and n lines so we can say that m||n
as l||m And m||n l and n are parallel yo each other

Answer 2

angleA=angleX(corresponding angles)
angleA=angleB(corresponding angles)
angleB=angleX(corresponding angles)
hence angleA=angleB=angleC
hence line l is parallel to m