Question

Instructions: Find the angle measures given the figure is a rhombus.

Answer 1

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 $\angle 1$, $\angle 1$, and 32

The property of a triangle is that all angles must add to 180 degrees

$\angle 1+\angle 1+32=180$

$2\angle1=148$

$\angle1=74$

Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!