1. find m<1 .........

Answer: [tex]m<1 = 87[/tex]°
Step-by-step explanation:
Alright, lets get started.
The exterior angle of the triangle is given as 124°
Hence the interior angle of the triangle will be : [tex]180-124[/tex]
Hence the interior angle of the triangle will be : [tex]56[/tex]°
So two interior angles of the triangle are : 56° and 37°
The sum of all three angles of a triangle is 180°
So,
[tex]x+56+37=180[/tex]
[tex]x+93=180[/tex]
[tex]x=87[/tex] °
Hence the measure of angle1 will be 87° : Answer
Hope it will help :)