Given that,
[tex]m\measuredangle1\cong m\measuredangle4[/tex]Since, the opposite angles are equal,
[tex]m\measuredangle4=m\measuredangle2[/tex]From these two equations,
[tex]m\measuredangle1\cong m\measuredangle2[/tex]Since, the opposite angles are equal,
[tex]m\measuredangle1\cong m\measuredangle3[/tex]From, tese two equations,
[tex]m\measuredangle2\cong m\measuredangle3[/tex]Hence, Proved.