Given:
[tex]m\angle5=143^{\circ}[/tex][tex]\angle1\text{ and }\angle5\text{ are corresponding angles.}[/tex]
Corresponding angles are equal.
[tex]m\angle1=143^{\circ}[/tex][tex]\angle1\text{ and }\angle3\text{ are vertically opposite angles.}[/tex]
Vertically opposite angles are equal.
[tex]m\angle3=143^{\circ}[/tex]
Sum of the angles in a straight is 180 degree.
[tex]m\angle2+m\angle3=180^{\circ}[/tex][tex]m\angle2=180-143[/tex][tex]m\angle2=37^{\circ}[/tex]
Therefore,
[tex]m\angle2=37^{\circ}\text{ and m}\angle3=143^{\circ}[/tex]
