Step-by-step explanation:
angle 1 & angle 2 are linear pair. That means both the angles form a straight angle (or 180°). Hence ,
[tex]m(1) + m(2) = 180[/tex]
[tex] = > m(1) = 180 - m(2)[/tex]
Also it's given that angle 1 & angle 3 are supplementary. It means that their sum will be equal to 180° . So ,
[tex]m(1) + m(3) = 180[/tex]
Putting the value of m(1) in above eqn. gives :-
[tex]m(1) + m(3) = 180[/tex]
[tex] = > 180 - m(2) + m(3) = 180[/tex]
[tex] = > - m(2) + m(3) = 180 - 180[/tex]
[tex] = > m(3) - m(2) = 0[/tex]
[tex] = > m(3) = m(2)[/tex]
