Answer:
The angle marked as 2 in the figure is 34 degrees.
Step-by-step explanation:
The sum of interior angles of a triangle is 180 degrees.
To know the value of angle 2, you have to solve following equation:
[tex]180=angle1+angle2+angle3[/tex]
[tex]angle2=180-angle1-angle3[/tex]
[tex]angle2=180-106-40\\angle2=34[/tex]
The values of angle 1 and angle 3 are calculated as follows:
Angle 1 is calculated by doing:
180-74=106
As angle 3 is opposite to the 40 degrees angle drawn in the figure, and knowing they are vertical angles, you can assume that angle 3 is equal to 40 degrees.