Answer :
Step 1
Given:
[tex]\begin{gathered} m\angle1=55^o \\ l\mleft\Vert m\text{ and n}\mleft\Vert p\mright?\mright? \end{gathered}[/tex]Step 2
Find the value of the missing angles with reason
[tex]m\angle6=55^o\text{ (Vertically opposite angles are equal)}[/tex][tex]m\angle2=\text{ 180 - m}\angle6=180-55=125^o(\text{ sum of angles on a straight line is 180 degrees)}[/tex][tex]m\angle5=125^{o\text{ }}(vertically\text{ opposite angles are equal)}[/tex][tex]m\angle9=m\angle1=55^o(\text{ corresponding angles are equal)}[/tex][tex]m\angle10\text{ = 180 - m}\angle9=180-55=125^o(sum\text{ of angles on a straight line is 180 degre}es)[/tex][tex]m\angle3=m\angle1=55^o(\text{corresponding angles are equal)}[/tex][tex]m\angle4=m\angle2=125^o(corresponding\text{ angles are equal)}[/tex][tex]m\angle7=m\angle5=125^o(corresponding\text{ angles are equal)}[/tex][tex]m\angle11=m\angle9=55^o(correspondin\text{g angles are equal)}[/tex][tex]m\angle8=m\angle6=55^o(corresponding\text{ angles are equal)}[/tex][tex]^{}m\angle12=m\angle10=125^o(\text{ corresponding angles are equal)}[/tex]