Note: The figure in the problem is NOT drawn to scale.
Because the figure is a rhombus, its diagonal bisects the intersecting angle AND opposite angles are congruent (this was hard to notice since the figure wasn't drawn to scale)
If you look at the image I attached to my answer, we now have an isosceles triangle with angles [tex]\angle 1[/tex], [tex]\angle 1[/tex], and 32
The property of a triangle is that all angles must add to 180 degrees
[tex]\angle 1+\angle 1+32=180[/tex]
[tex]2\angle1=148[/tex]
[tex]\angle1=74[/tex]
Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!
