Question

in the adjoining figure if angle a =~ angle b and angle x=~ angle y then prove that line l parallel to line n​

Answer 1

Answer:

Given,

angle a = angle b.

but angle a and angle b are corresponding angels as seen in the figure.

so, line l || m. .....1

Again,

angle x = angle y

but angle x and angle y are alternate interior angles as seen in the figure.

so, line m || n..........2

since l || m and m || n ( from 1 and 2)

= l || m || n

hence, l || n