Question

In the given figure, Angle x > Angle y . Show that Angle LMN < Angle LNM.

Answer 1

angle x forms linear pair with angle LMN
angle y forms linear pair with angle LNM
Angle LMN +x=180
Angle LNM +y=180
Angle LMN+x =Angle LNM+y
x-y=Angle LNM - Angle LMN
x>y therefore
Angle LNM -Angle LMN=+ve
For the answer to be positive
Angle LNM > Angle LMN
Hope it helps :)