Answer:
[tex]m\angle 1\:and\:m\angle 3=29\degree[/tex]
[tex]m\angle 2\:and\:m\angle 4=151\degree[/tex]
Step-by-step explanation:
The missing diagram is shown in the attachment.
Recall that vertical angles are congruent:
[tex]\implies 2x+9=3x-1[/tex]
[tex]\implies 3x-2x=9+1[/tex]
[tex]\therefore x=10[/tex]
[tex]m\angle 1=m\angle 3=3(10)-1=30-1=29\degree[/tex]
The sum of angles on a straight line is 180 degrees
[tex]m\angle 2=m\angle 4=180-29\degree=151\degree[/tex]
