Answer:
Step-by-step explanation:
The length of the diagonals have ratios of a 30, 60, 90, triangle.
If you split the rhombus into four triangles, the shortest leg will have a length of a, the longer leg will have a length of asqrt(3), this means that the angle opposite to the longer leg will have a degree measure of 60, and the angle opposite to the shorter leg will have a degree measure of 30 degrees.
Now put the triangles back together.
60+60=120
30+30=60
There will be two measures of 120 degrees and two measures of 60 degrees.
